Atkin-Lehner |
3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7215c |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
2.0791835471841E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 2 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1862805,-690949350] |
[a1,a2,a3,a4,a6] |
Generators |
[-1032:12078:1] |
Generators of the group modulo torsion |
j |
714868089922470312576721/207918354718409765625 |
j-invariant |
L |
2.5010041603636 |
L(r)(E,1)/r! |
Ω |
0.13210525583059 |
Real period |
R |
1.577658754402 |
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 |
115440da1 21645e1 36075q1 93795b1 |
Quadratic twists by: -4 -3 5 13 |