Atkin-Lehner |
2- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bg |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
6166160000000 = 210 · 57 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5963,130417] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:305:1] [-78:389:1] |
Generators of the group modulo torsion |
j |
1500730351849/394634240 |
j-invariant |
L |
9.8844152308449 |
L(r)(E,1)/r! |
Ω |
0.70554282611008 |
Real period |
R |
0.35024150430886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010c1 |
Quadratic twists by: 5 |