Atkin-Lehner |
5+ 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
71225b |
Isogeny class |
Conductor |
71225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
1112890625 = 58 · 7 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37105,-2741728] |
[a1,a2,a3,a4,a6] |
Generators |
[6078:11110:27] |
Generators of the group modulo torsion |
j |
361568028250521/71225 |
j-invariant |
L |
2.2032786776643 |
L(r)(E,1)/r! |
Ω |
0.34398726555854 |
Real period |
R |
6.405116989604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245e1 |
Quadratic twists by: 5 |