Atkin-Lehner |
2- 7- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286bg |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
14407680 |
Modular degree for the optimal curve |
Δ |
-7.0355135815133E+21 |
Discriminant |
Eigenvalues |
2- 3 0 7- 3 -3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13734930,-20000273135] |
[a1,a2,a3,a4,a6] |
Generators |
[503067:66934901:27] |
Generators of the group modulo torsion |
j |
-2435649510398150390625/59800878728364032 |
j-invariant |
L |
20.75959073307 |
L(r)(E,1)/r! |
Ω |
0.039154608819565 |
Real period |
R |
0.94677737063929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16898i1 |
Quadratic twists by: -7 |