Atkin-Lehner |
2+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103880c |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
21971104729011200 = 210 · 52 · 78 · 533 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -5 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-423376,105933276] |
[a1,a2,a3,a4,a6] |
Generators |
[441:2190:1] |
Generators of the group modulo torsion |
j |
1421736677956/3721925 |
j-invariant |
L |
7.3250875876283 |
L(r)(E,1)/r! |
Ω |
0.38286879982052 |
Real period |
R |
4.7830272279821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103880m1 |
Quadratic twists by: -7 |