Atkin-Lehner |
2+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3416a |
Isogeny class |
Conductor |
3416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
1626999808 = 210 · 7 · 613 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -3 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1912,-31492] |
[a1,a2,a3,a4,a6] |
j |
755291402212/1588867 |
j-invariant |
L |
1.4440876067006 |
L(r)(E,1)/r! |
Ω |
0.72204380335029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6832a1 27328l1 30744g1 85400r1 |
Quadratic twists by: -4 8 -3 5 |