Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575w |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
1.4055698491715E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7212213,-4803164094] |
[a1,a2,a3,a4,a6] |
Generators |
[106326866685182:-1528024729113884:34741712447] |
Generators of the group modulo torsion |
j |
22569455565127801/7646173817625 |
j-invariant |
L |
3.8227600949292 |
L(r)(E,1)/r! |
Ω |
0.09465180605023 |
Real period |
R |
20.193804180901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315n1 15225r1 |
Quadratic twists by: 5 -7 |