Atkin-Lehner |
3+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525c |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2232576 |
Modular degree for the optimal curve |
Δ |
-1556286264648421875 = -1 · 319 · 56 · 17 · 712 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -5 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1216358,520227743] |
[a1,a2,a3,a4,a6] |
Generators |
[7391080034142:119587519233043:15964935832] |
Generators of the group modulo torsion |
j |
-12737620064548237312/99602320937499 |
j-invariant |
L |
10.699289504854 |
L(r)(E,1)/r! |
Ω |
0.26904903494856 |
Real period |
R |
19.883530723126 |
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 |
3621b1 |
Quadratic twists by: 5 |