Atkin-Lehner |
2+ 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3774l |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-2377076544 = -1 · 26 · 310 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 -1 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-684,7210] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:111:1] |
Generators of the group modulo torsion |
j |
-35316607651129/2377076544 |
j-invariant |
L |
2.599925567968 |
L(r)(E,1)/r! |
Ω |
1.4291202372491 |
Real period |
R |
0.090962450191476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30192s1 120768m1 11322n1 94350bj1 |
Quadratic twists by: -4 8 -3 5 |