Atkin-Lehner |
2- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
101626q |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
7148736 |
Modular degree for the optimal curve |
Δ |
7076538392956928 = 212 · 78 · 173 · 61 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 3 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74966473,249826136601] |
[a1,a2,a3,a4,a6] |
Generators |
[1367370:247404491:729] |
Generators of the group modulo torsion |
j |
8082405372952247052625/1227542528 |
j-invariant |
L |
7.8076037632524 |
L(r)(E,1)/r! |
Ω |
0.24102159231768 |
Real period |
R |
8.0984484341791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020004 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101626ba1 |
Quadratic twists by: -7 |