Atkin-Lehner |
2+ 3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bp |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
5840625000 = 23 · 3 · 58 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-451,-202] |
[a1,a2,a3,a4,a6] |
Generators |
[-348:1759:27] |
Generators of the group modulo torsion |
j |
25888585/14952 |
j-invariant |
L |
6.1926845166564 |
L(r)(E,1)/r! |
Ω |
1.1317193433832 |
Real period |
R |
5.4719260052625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450by1 |
Quadratic twists by: 5 |