Atkin-Lehner |
5+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525k |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-39170989990234375 = -1 · 516 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-179563,-30811008] |
[a1,a2,a3,a4,a6] |
Generators |
[2297:106914:1] |
Generators of the group modulo torsion |
j |
-40978343181583081/2506943359375 |
j-invariant |
L |
2.2877500646656 |
L(r)(E,1)/r! |
Ω |
0.11555255867468 |
Real period |
R |
4.9495876410945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14105b1 |
Quadratic twists by: 5 |