Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775i |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-4592207671875 = -1 · 34 · 56 · 193 · 232 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 1 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,442,102893] |
[a1,a2,a3,a4,a6] |
Generators |
[394:3929:8] |
Generators of the group modulo torsion |
j |
609800192/293901291 |
j-invariant |
L |
9.3153734854923 |
L(r)(E,1)/r! |
Ω |
0.60165783936408 |
Real period |
R |
1.2902368638818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325bo1 1311d1 |
Quadratic twists by: -3 5 |