Atkin-Lehner |
2- 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410cs |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
3024 |
Product of Tamagawa factors cp |
deg |
13160448 |
Modular degree for the optimal curve |
Δ |
-7.0543274633216E+20 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 11- -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5688927,5378164551] |
[a1,a2,a3,a4,a6] |
Generators |
[-2749:16774:1] [1451:12574:1] |
Generators of the group modulo torsion |
j |
-59363651027665715451687/2056655237120000000 |
j-invariant |
L |
11.419476994712 |
L(r)(E,1)/r! |
Ω |
0.15985616837182 |
Real period |
R |
0.023622998810869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410bs1 |
Quadratic twists by: -7 |