Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248bd |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
20361395222784 = 28 · 311 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136911,19497490] |
[a1,a2,a3,a4,a6] |
Generators |
[-310:5670:1] |
Generators of the group modulo torsion |
j |
1520796996637648/109103841 |
j-invariant |
L |
6.1868429058804 |
L(r)(E,1)/r! |
Ω |
0.64980305778267 |
Real period |
R |
2.3802761616698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886846 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31416j1 |
Quadratic twists by: -3 |