Atkin-Lehner |
2- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114700d |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1997568 |
Modular degree for the optimal curve |
Δ |
39509382781250000 = 24 · 59 · 314 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1418033,650349062] |
[a1,a2,a3,a4,a6] |
j |
1261371525470961664/158037531125 |
j-invariant |
L |
0.69988118058721 |
L(r)(E,1)/r! |
Ω |
0.3499408534709 |
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 |
22940a1 |
Quadratic twists by: 5 |