Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362g |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
32243745420214272 = 234 · 32 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4063236,3150803664] |
[a1,a2,a3,a4,a6] |
Generators |
[2229:70821:1] |
Generators of the group modulo torsion |
j |
249031876226794389847/1082331758592 |
j-invariant |
L |
3.3149906303133 |
L(r)(E,1)/r! |
Ω |
0.32585326383616 |
Real period |
R |
5.0866310057577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086bl1 40362s1 |
Quadratic twists by: -3 -31 |