Atkin-Lehner |
2+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514c |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
654720 |
Modular degree for the optimal curve |
Δ |
-3633010718440276 = -1 · 22 · 172 · 617 |
Discriminant |
Eigenvalues |
2+ 0 1 1 1 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24884,-3263724] |
[a1,a2,a3,a4,a6] |
Generators |
[290:3576:1] [13530:276302:27] |
Generators of the group modulo torsion |
j |
-33076161/70516 |
j-invariant |
L |
9.4178200726804 |
L(r)(E,1)/r! |
Ω |
0.17815015467555 |
Real period |
R |
3.304031678367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2074b1 |
Quadratic twists by: 61 |