Atkin-Lehner |
3+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775l |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-24957650390625 = -1 · 34 · 59 · 193 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 -3 7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3505700,2524987125] |
[a1,a2,a3,a4,a6] |
Generators |
[1076:-277:1] |
Generators of the group modulo torsion |
j |
-2439597123220149269/12778317 |
j-invariant |
L |
5.2101693963802 |
L(r)(E,1)/r! |
Ω |
0.45612437646946 |
Real period |
R |
2.8556736195006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325bz1 32775be1 |
Quadratic twists by: -3 5 |