Atkin-Lehner |
2+ 11+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123728a |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61184 |
Modular degree for the optimal curve |
Δ |
-108627245056 = -1 · 211 · 11 · 194 · 37 |
Discriminant |
Eigenvalues |
2+ 0 1 0 11+ 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,613,-14742] |
[a1,a2,a3,a4,a6] |
Generators |
[2395:7942:125] |
Generators of the group modulo torsion |
j |
12438705438/53040647 |
j-invariant |
L |
6.9942720145814 |
L(r)(E,1)/r! |
Ω |
0.53440031929895 |
Real period |
R |
3.2720189848881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61864f1 |
Quadratic twists by: -4 |