Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
95200k |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
833000000 = 26 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 6 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6958,221088] |
[a1,a2,a3,a4,a6] |
Generators |
[49:14:1] |
Generators of the group modulo torsion |
j |
37259704000/833 |
j-invariant |
L |
4.0151114586798 |
L(r)(E,1)/r! |
Ω |
1.4655627509486 |
Real period |
R |
1.3698190220851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999752494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95200e1 3808a1 |
Quadratic twists by: -4 5 |