Atkin-Lehner |
2- 3+ 7+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
79254t |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
-14486363136 = -1 · 210 · 33 · 72 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3806,91501] |
[a1,a2,a3,a4,a6] |
Generators |
[31:35:1] [-23:419:1] |
Generators of the group modulo torsion |
j |
-225766405927971/536531968 |
j-invariant |
L |
13.581855556242 |
L(r)(E,1)/r! |
Ω |
1.2527796673818 |
Real period |
R |
0.54206880546847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79254a1 |
Quadratic twists by: -3 |