Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5915a |
Isogeny class |
Conductor |
5915 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
15373386665 = 5 · 72 · 137 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11270,463295] |
[a1,a2,a3,a4,a6] |
j |
32798729601/3185 |
j-invariant |
L |
1.1908070147286 |
L(r)(E,1)/r! |
Ω |
1.1908070147286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640bm1 53235bl1 29575c1 41405l1 |
Quadratic twists by: -4 -3 5 -7 |