Atkin-Lehner |
2+ 3+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31518a |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-411499008 = -1 · 29 · 33 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-372,3024] |
[a1,a2,a3,a4,a6] |
Generators |
[15:18:1] |
Generators of the group modulo torsion |
j |
-211176358875/15240704 |
j-invariant |
L |
4.8641623768293 |
L(r)(E,1)/r! |
Ω |
1.6517752964243 |
Real period |
R |
0.73620219217455 |
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 |
31518k1 |
Quadratic twists by: -3 |