Atkin-Lehner |
2- 3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270by |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
2240 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
4.1396328162321E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-179175086,917854050539] |
[a1,a2,a3,a4,a6] |
Generators |
[-11959:1168063:1] |
Generators of the group modulo torsion |
j |
636145672356248417386563038689/4139632816232096990822400 |
j-invariant |
L |
6.9433093096669 |
L(r)(E,1)/r! |
Ω |
0.078431717328939 |
Real period |
R |
0.15808357953465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bw1 |
Quadratic twists by: -3 |