Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2350k |
Isogeny class |
Conductor |
2350 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-452403200 = -1 · 213 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 5 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-768,8192] |
[a1,a2,a3,a4,a6] |
Generators |
[28:80:1] |
Generators of the group modulo torsion |
j |
-2004023020585/18096128 |
j-invariant |
L |
4.7351518645731 |
L(r)(E,1)/r! |
Ω |
1.676525769171 |
Real period |
R |
0.10863013793731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800v1 75200w1 21150x1 2350f1 |
Quadratic twists by: -4 8 -3 5 |