Atkin-Lehner |
2- 7+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688l |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
487296 |
Modular degree for the optimal curve |
Δ |
-2259967773416192 = -1 · 28 · 73 · 29 · 316 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 6 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23547,1807993] |
[a1,a2,a3,a4,a6] |
j |
5639908450304000/8827999114907 |
j-invariant |
L |
1.2568283733447 |
L(r)(E,1)/r! |
Ω |
0.31420712070822 |
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 |
25172g1 |
Quadratic twists by: -4 |