Atkin-Lehner |
3+ 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25935f |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
87530625 = 34 · 54 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] |
Generators of the group modulo torsion |
j |
151334226289/87530625 |
j-invariant |
L |
2.1484365373017 |
L(r)(E,1)/r! |
Ω |
1.6205533844831 |
Real period |
R |
1.3257425259008 |
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 |
77805z1 129675z1 |
Quadratic twists by: -3 5 |