Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680c |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-4432637843200 = -1 · 28 · 52 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,964,-100960] |
[a1,a2,a3,a4,a6] |
j |
3286064/147175 |
j-invariant |
L |
2.9756697607759 |
L(r)(E,1)/r! |
Ω |
0.37195863779676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840a1 16240g1 |
Quadratic twists by: -4 -7 |