Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550c |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
762947657226562500 = 22 · 32 · 512 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8318775,-9238377375] |
[a1,a2,a3,a4,a6] |
Generators |
[3384:35415:1] |
Generators of the group modulo torsion |
j |
4074571110566294433649/48828650062500 |
j-invariant |
L |
2.3675767476507 |
L(r)(E,1)/r! |
Ω |
0.088896572303245 |
Real period |
R |
6.6582340755908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400hj6 34650da6 2310t6 80850bz6 |
Quadratic twists by: -4 -3 5 -7 |