Atkin-Lehner |
2+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23450a |
Isogeny class |
Conductor |
23450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
1921024000000 = 218 · 56 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -6 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4475,92125] |
[a1,a2,a3,a4,a6] |
Generators |
[6:253:1] |
Generators of the group modulo torsion |
j |
634504103857/122945536 |
j-invariant |
L |
1.6646594878214 |
L(r)(E,1)/r! |
Ω |
0.78923606973494 |
Real period |
R |
1.0546017545678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
938d1 |
Quadratic twists by: 5 |