Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350ci |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1546603849728000 = 214 · 312 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53172,-4310064] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:678:1] |
Generators of the group modulo torsion |
j |
182448271553813/16972333056 |
j-invariant |
L |
3.8550522283607 |
L(r)(E,1)/r! |
Ω |
0.31627096555081 |
Real period |
R |
1.5236350486325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450dc1 91350fn1 |
Quadratic twists by: -3 5 |