Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736j |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40689792 |
Modular degree for the optimal curve |
Δ |
-7.5198476888742E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -2 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,184485752,900209313964] |
[a1,a2,a3,a4,a6] |
Generators |
[16527976460541150:5313042143302097399:162950271128] |
Generators of the group modulo torsion |
j |
31973639882971750/34624931363397 |
j-invariant |
L |
4.5640398891103 |
L(r)(E,1)/r! |
Ω |
0.033546303760192 |
Real period |
R |
22.675324241068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125736s1 |
Quadratic twists by: 13 |