Atkin-Lehner |
3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325x |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-140123671875 = -1 · 35 · 57 · 112 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11- -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4533,117344] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-413:1] [-246:3821:8] |
Generators of the group modulo torsion |
j |
-659411697664/8967915 |
j-invariant |
L |
9.2636196098264 |
L(r)(E,1)/r! |
Ω |
1.037723961734 |
Real period |
R |
0.22317157431605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10065c1 |
Quadratic twists by: 5 |