Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3320b |
Isogeny class |
Conductor |
3320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-518750000 = -1 · 24 · 58 · 83 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 1 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178,-1427] |
[a1,a2,a3,a4,a6] |
Generators |
[74:625:1] |
Generators of the group modulo torsion |
j |
-38981965824/32421875 |
j-invariant |
L |
2.1374155108383 |
L(r)(E,1)/r! |
Ω |
0.63127793734166 |
Real period |
R |
0.84646373031786 |
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 |
6640a1 26560g1 29880g1 16600f1 |
Quadratic twists by: -4 8 -3 5 |