Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494br |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
180633600 |
Modular degree for the optimal curve |
Δ |
-2.3057911133976E+30 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3245903050,-16464102425787] |
[a1,a2,a3,a4,a6] |
Generators |
[182443959:-56959183371:29791] |
Generators of the group modulo torsion |
j |
5188034027782188021448691750375/3162950772836260903668154368 |
j-invariant |
L |
11.016605198825 |
L(r)(E,1)/r! |
Ω |
0.015014014455179 |
Real period |
R |
7.3375480053258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36498d1 |
Quadratic twists by: -3 |