Atkin-Lehner |
3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775ba |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-14920082725921875 = -1 · 36 · 56 · 195 · 232 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -1 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35283,6394844] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-1967:1] |
Generators of the group modulo torsion |
j |
-310894120566784/954885294459 |
j-invariant |
L |
4.8590355363041 |
L(r)(E,1)/r! |
Ω |
0.34654518418356 |
Real period |
R |
0.23368936952871 |
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 |
98325bq1 1311b1 |
Quadratic twists by: -3 5 |