Atkin-Lehner |
2+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920g |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
374975097829280000 = 28 · 54 · 1310 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-560460,158974100] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:16080:1] |
Generators of the group modulo torsion |
j |
15756446357584/303460625 |
j-invariant |
L |
11.663064288726 |
L(r)(E,1)/r! |
Ω |
0.30146786340728 |
Real period |
R |
4.835948402748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8840c1 |
Quadratic twists by: 13 |