Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550c |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
37449972656250 = 2 · 3 · 59 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-133100025,-591093346125] |
[a1,a2,a3,a4,a6] |
Generators |
[12569493:-8579834420:27] |
Generators of the group modulo torsion |
j |
16689299266861680229173649/2396798250 |
j-invariant |
L |
2.3675767476507 |
L(r)(E,1)/r! |
Ω |
0.044448286151622 |
Real period |
R |
13.316468151182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400hj7 34650da7 2310t7 80850bz7 |
Quadratic twists by: -4 -3 5 -7 |