Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810r |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
89113600000 = 213 · 55 · 592 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -4 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1302,11301] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-101:1] [-29:169:1] |
Generators of the group modulo torsion |
j |
70071254361/25600000 |
j-invariant |
L |
7.8681856632915 |
L(r)(E,1)/r! |
Ω |
0.983034180013 |
Real period |
R |
0.12313814988902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810h1 |
Quadratic twists by: -59 |