Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550b |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-4.52531847168E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2084900,-1546878000] |
[a1,a2,a3,a4,a6] |
Generators |
[959795:939822440:1] |
Generators of the group modulo torsion |
j |
-64144540676215729729/28962038218752000 |
j-invariant |
L |
2.5865528635642 |
L(r)(E,1)/r! |
Ω |
0.061479005616252 |
Real period |
R |
10.518033097792 |
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 |
44400cg1 16650bx1 1110n1 |
Quadratic twists by: -4 -3 5 |