Atkin-Lehner |
5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60515j |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-3933475 = -1 · 52 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
0 -2 5- 7- -1 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-33:1] |
Generators of the group modulo torsion |
j |
229376/80275 |
j-invariant |
L |
2.3770554524518 |
L(r)(E,1)/r! |
Ω |
1.1621704572997 |
Real period |
R |
0.51133967431985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60515d1 |
Quadratic twists by: -7 |