Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424bd |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-7449391859761152 = -1 · 219 · 35 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-550753,157191167] |
[a1,a2,a3,a4,a6] |
Generators |
[371:-2016:1] [-77:14112:1] |
Generators of the group modulo torsion |
j |
-70478263190049625/28417174758 |
j-invariant |
L |
13.453807269215 |
L(r)(E,1)/r! |
Ω |
0.41067595849558 |
Real period |
R |
0.23400109348374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424bh1 2982a1 |
Quadratic twists by: -4 8 |