Atkin-Lehner |
11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31603d |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-6416449663553483411 = -1 · 115 · 1310 · 172 |
Discriminant |
Eigenvalues |
0 1 1 -2 11+ 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1695295,-858864912] |
[a1,a2,a3,a4,a6] |
j |
-111634825505112064/1329335729579 |
j-invariant |
L |
0.26442969828395 |
L(r)(E,1)/r! |
Ω |
0.06610742457155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2431a1 |
Quadratic twists by: 13 |