Atkin-Lehner |
2+ 3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950p |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16920576 |
Modular degree for the optimal curve |
Δ |
1.5854351163618E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40654025,79256155125] |
[a1,a2,a3,a4,a6] |
Generators |
[-7130:85515:1] |
Generators of the group modulo torsion |
j |
475569892619895944185489/101467847447156250000 |
j-invariant |
L |
2.2268735226347 |
L(r)(E,1)/r! |
Ω |
0.079849618490565 |
Real period |
R |
6.9720856642063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790w1 |
Quadratic twists by: 5 |