Atkin-Lehner |
7- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
13237f |
Isogeny class |
Conductor |
13237 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
985243147 = 75 · 312 · 61 |
Discriminant |
Eigenvalues |
-1 -1 -2 7- 3 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-249,-188] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:11:1] [-5:33:1] |
Generators of the group modulo torsion |
j |
1707775420177/985243147 |
j-invariant |
L |
3.4404373895906 |
L(r)(E,1)/r! |
Ω |
1.3107143980187 |
Real period |
R |
0.26248566390891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119133l1 92659a1 |
Quadratic twists by: -3 -7 |