Atkin-Lehner |
2+ 3- 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59496a |
Isogeny class |
Conductor |
59496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21376 |
Modular degree for the optimal curve |
Δ |
-356976 = -1 · 24 · 32 · 37 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 2 -7 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420,3177] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-3:1] [92:867:1] |
Generators of the group modulo torsion |
j |
-513316500736/22311 |
j-invariant |
L |
11.69239171726 |
L(r)(E,1)/r! |
Ω |
2.8446217891195 |
Real period |
R |
1.027587548016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118992b1 |
Quadratic twists by: -4 |