Atkin-Lehner |
2+ 11- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728c |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12544 |
Modular degree for the optimal curve |
Δ |
1979648 = 28 · 11 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 2 0 0 11- 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[300:793:27] |
Generators of the group modulo torsion |
j |
16000000/7733 |
j-invariant |
L |
10.033131534556 |
L(r)(E,1)/r! |
Ω |
2.0853151225111 |
Real period |
R |
4.8113263059184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61864e1 |
Quadratic twists by: -4 |