Atkin-Lehner |
5+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20615b |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
15976625 = 53 · 7 · 19 · 312 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-336,2335] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:26:1] |
Generators of the group modulo torsion |
j |
4195872914689/15976625 |
j-invariant |
L |
1.9213744160815 |
L(r)(E,1)/r! |
Ω |
2.2145761474089 |
Real period |
R |
1.7352073608574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103075n1 |
Quadratic twists by: 5 |