Atkin-Lehner |
2- 3+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bs |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
295842686970852 = 22 · 39 · 76 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24140,-1176821] |
[a1,a2,a3,a4,a6] |
j |
79036436410875/15030365644 |
j-invariant |
L |
4.6568067091207 |
L(r)(E,1)/r! |
Ω |
0.38806724765834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154e1 |
Quadratic twists by: -3 |