Atkin-Lehner |
2+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25520g |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
5088050000 = 24 · 55 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-935,-10150] |
[a1,a2,a3,a4,a6] |
Generators |
[410:2175:8] |
Generators of the group modulo torsion |
j |
5655916189696/318003125 |
j-invariant |
L |
8.6481152300986 |
L(r)(E,1)/r! |
Ω |
0.86631964679716 |
Real period |
R |
1.9965183202462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12760d1 102080be1 127600j1 |
Quadratic twists by: -4 8 5 |