Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634p |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
116160 |
Modular degree for the optimal curve |
Δ |
-1124297616722238 = -1 · 2 · 317 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -1 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7488,1591974] |
[a1,a2,a3,a4,a6] |
Generators |
[-690:4719:8] |
Generators of the group modulo torsion |
j |
541343375/13108878 |
j-invariant |
L |
3.6570202626804 |
L(r)(E,1)/r! |
Ω |
0.36678233801579 |
Real period |
R |
2.492636561008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878bo1 666b1 |
Quadratic twists by: -3 -7 |