Atkin-Lehner |
5+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525a |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-481834513671875 = -1 · 59 · 72 · 132 · 313 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -6 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-65133,6506418] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:1137:1] [-694:27121:8] |
Generators of the group modulo torsion |
j |
-1955751176175616/30837408875 |
j-invariant |
L |
6.1101090881969 |
L(r)(E,1)/r! |
Ω |
0.52598958896787 |
Real period |
R |
0.24200847698964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14105e1 |
Quadratic twists by: 5 |