Atkin-Lehner |
2- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
5050d |
Isogeny class |
Conductor |
5050 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-206848000000 = -1 · 217 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 4 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,95,-21903] |
[a1,a2,a3,a4,a6] |
Generators |
[39:180:1] |
Generators of the group modulo torsion |
j |
6128487/13238272 |
j-invariant |
L |
5.4095507628175 |
L(r)(E,1)/r! |
Ω |
0.46495303621629 |
Real period |
R |
0.34219463431249 |
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 |
40400r1 45450o1 202a1 |
Quadratic twists by: -4 -3 5 |