Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568m |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5242752 |
Modular degree for the optimal curve |
Δ |
-1106178129464432688 = -1 · 24 · 39 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 6 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41028930,101154091653] |
[a1,a2,a3,a4,a6] |
j |
-6905088000 |
j-invariant |
L |
2.5810860641146 |
L(r)(E,1)/r! |
Ω |
0.21509051297855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98568b1 98568a1 |
Quadratic twists by: -3 37 |