Atkin-Lehner |
2+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3782b |
Isogeny class |
Conductor |
3782 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-872514964 = -1 · 22 · 312 · 613 |
Discriminant |
Eigenvalues |
2+ -2 3 -1 -3 -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-992,12018] |
[a1,a2,a3,a4,a6] |
Generators |
[9:57:1] |
Generators of the group modulo torsion |
j |
-107802602036857/872514964 |
j-invariant |
L |
2.0343323693198 |
L(r)(E,1)/r! |
Ω |
1.5876255706433 |
Real period |
R |
0.96102588998459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30256f1 121024k1 34038l1 94550r1 |
Quadratic twists by: -4 8 -3 5 |