Atkin-Lehner |
2- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
40670bc |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
119 |
Product of Tamagawa factors cp |
deg |
1405152 |
Modular degree for the optimal curve |
Δ |
397167968750000000 = 27 · 517 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 5 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1433895,659588957] |
[a1,a2,a3,a4,a6] |
Generators |
[2247:92626:1] |
Generators of the group modulo torsion |
j |
6653952589354150296769/8105468750000000 |
j-invariant |
L |
14.133490597206 |
L(r)(E,1)/r! |
Ω |
0.29902833419276 |
Real period |
R |
0.39718252408609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670k1 |
Quadratic twists by: -7 |