Atkin-Lehner |
2- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78292f |
Isogeny class |
Conductor |
78292 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1801728 |
Modular degree for the optimal curve |
Δ |
-3.7572452988217E+19 |
Discriminant |
Eigenvalues |
2- 0 -3 -2 0 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,279841,-289355594] |
[a1,a2,a3,a4,a6] |
Generators |
[4194:9583:8] [9522:332741:8] |
Generators of the group modulo torsion |
j |
120891312/1874161 |
j-invariant |
L |
8.5273658792057 |
L(r)(E,1)/r! |
Ω |
0.1002963473886 |
Real period |
R |
7.0851416004697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78292a1 |
Quadratic twists by: -23 |