Atkin-Lehner |
5- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525r |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1303610546875 = -1 · 58 · 72 · 133 · 31 |
Discriminant |
Eigenvalues |
-1 2 5- 7+ -5 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2612,-18344] |
[a1,a2,a3,a4,a6] |
Generators |
[31:290:1] |
Generators of the group modulo torsion |
j |
5045135135/3337243 |
j-invariant |
L |
4.1440218086157 |
L(r)(E,1)/r! |
Ω |
0.48922922530136 |
Real period |
R |
4.2352557792029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525o1 |
Quadratic twists by: 5 |