Atkin-Lehner |
5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60515c |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-30080011017875 = -1 · 53 · 78 · 133 · 19 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-130111,-18109584] |
[a1,a2,a3,a4,a6] |
Generators |
[31008:991477:27] |
Generators of the group modulo torsion |
j |
-42255648784384/5217875 |
j-invariant |
L |
5.7755240740919 |
L(r)(E,1)/r! |
Ω |
0.1256861895142 |
Real period |
R |
5.1057709648826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60515i2 |
Quadratic twists by: -7 |