Atkin-Lehner |
5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51205j |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
1978524998065 = 5 · 77 · 113 · 192 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47245,-3940224] |
[a1,a2,a3,a4,a6] |
Generators |
[660:15546:1] |
Generators of the group modulo torsion |
j |
99130706806041/16817185 |
j-invariant |
L |
4.5854822494177 |
L(r)(E,1)/r! |
Ω |
0.32382813714282 |
Real period |
R |
4.7200780532057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315g1 |
Quadratic twists by: -7 |