Atkin-Lehner |
2+ 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100688i |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2447121152 = -1 · 28 · 73 · 29 · 312 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 4 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,223,1933] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:31:1] |
Generators of the group modulo torsion |
j |
4769242112/9559067 |
j-invariant |
L |
7.6410195504583 |
L(r)(E,1)/r! |
Ω |
1.0013364190246 |
Real period |
R |
1.2718035955509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50344e1 |
Quadratic twists by: -4 |