Atkin-Lehner |
5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79135a |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
443365440 |
Modular degree for the optimal curve |
Δ |
2.2543752230057E+27 |
Discriminant |
Eigenvalues |
2 -3 5+ 7+ 2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27365792293,1742447813715873] |
[a1,a2,a3,a4,a6] |
Generators |
[877792810979312577704334584895619982811696135042179469574705166:683808470558819756580383786446155947710421184703995203482620771:9205786793506985570018626189127672767234236614927171868344] |
Generators of the group modulo torsion |
j |
393154699245115289050366930944/391058637237548828125 |
j-invariant |
L |
7.4638683415083 |
L(r)(E,1)/r! |
Ω |
0.038724685732844 |
Real period |
R |
96.370934976727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135be1 |
Quadratic twists by: -7 |