Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520bu |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
81983033638912000 = 219 · 53 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1130936,462337364] |
[a1,a2,a3,a4,a6] |
j |
331963239764521/170128000 |
j-invariant |
L |
1.3499268846664 |
L(r)(E,1)/r! |
Ω |
0.33748159771388 |
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 |
15190c1 17360bd1 |
Quadratic twists by: -4 -7 |