Atkin-Lehner |
3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31635c |
Isogeny class |
Conductor |
31635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
7687305 = 37 · 5 · 19 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1980,34411] |
[a1,a2,a3,a4,a6] |
j |
1177918188481/10545 |
j-invariant |
L |
2.1108167902175 |
L(r)(E,1)/r! |
Ω |
2.1108167902161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10545b1 |
Quadratic twists by: -3 |