Atkin-Lehner |
2+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800s |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-275634800000000 = -1 · 210 · 58 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 0 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-215208,38363588] |
[a1,a2,a3,a4,a6] |
j |
-2755757342500/689087 |
j-invariant |
L |
2.1451254999238 |
L(r)(E,1)/r! |
Ω |
0.5362814154485 |
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 |
57400y1 114800l1 |
Quadratic twists by: -4 5 |