Atkin-Lehner |
3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bl |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
47906884265625 = 39 · 56 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5525451,4998729673] |
[a1,a2,a3,a4,a6] |
Generators |
[10006:48543:8] |
Generators of the group modulo torsion |
j |
1194006714002239614625/3066040593 |
j-invariant |
L |
9.6995057800647 |
L(r)(E,1)/r! |
Ω |
0.41825674901786 |
Real period |
R |
1.2883508365723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3927a1 |
Quadratic twists by: 5 |