Atkin-Lehner |
5+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
67525b |
Isogeny class |
Conductor |
67525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33984 |
Modular degree for the optimal curve |
Δ |
-5275390625 = -1 · 59 · 37 · 73 |
Discriminant |
Eigenvalues |
-1 1 5+ 0 -3 4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,3617] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:30:1] [-13:69:1] |
Generators of the group modulo torsion |
j |
-47045881/337625 |
j-invariant |
L |
7.5100233215892 |
L(r)(E,1)/r! |
Ω |
1.1684201841511 |
Real period |
R |
1.606875553729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13505b1 |
Quadratic twists by: 5 |