Atkin-Lehner |
2+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52514f |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880000 |
Modular degree for the optimal curve |
Δ |
-3659681664269582336 = -1 · 215 · 75 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30212492,-63931356848] |
[a1,a2,a3,a4,a6] |
Generators |
[225406008718190127149809804995775656144387:-20962913154854726801883640310761598586498760:19387050245217203541352083066049985881] |
Generators of the group modulo torsion |
j |
-1721580238553093926561/2065794891776 |
j-invariant |
L |
4.1498118938343 |
L(r)(E,1)/r! |
Ω |
0.032197554631894 |
Real period |
R |
64.442966884877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774j1 |
Quadratic twists by: -11 |