Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965t |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-7922943464645475 = -1 · 310 · 52 · 710 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -5 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,32814,-3609259] |
[a1,a2,a3,a4,a6] |
j |
13832720384/28048275 |
j-invariant |
L |
4.3312172775871 |
L(r)(E,1)/r! |
Ω |
0.21656086387936 |
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 |
41895cb1 69825z1 13965f1 |
Quadratic twists by: -3 5 -7 |