Atkin-Lehner |
7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5957a |
Isogeny class |
Conductor |
5957 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
232 |
Modular degree for the optimal curve |
Δ |
-41699 = -1 · 72 · 23 · 37 |
Discriminant |
Eigenvalues |
0 -1 -1 7+ -2 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1,10] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-262144/41699 |
j-invariant |
L |
2.0134909153414 |
L(r)(E,1)/r! |
Ω |
2.9598337484395 |
Real period |
R |
0.34013581276363 |
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 |
95312o1 53613a1 41699a1 |
Quadratic twists by: -4 -3 -7 |