Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97104j |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
-7031563500528 = -1 · 24 · 32 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8188,-309701] |
[a1,a2,a3,a4,a6] |
Generators |
[256559527:675208407:2352637] |
Generators of the group modulo torsion |
j |
-544000/63 |
j-invariant |
L |
7.140090937816 |
L(r)(E,1)/r! |
Ω |
0.24931740810887 |
Real period |
R |
14.319278795513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48552bd1 97104n1 |
Quadratic twists by: -4 17 |