Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150cu |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-56267136000 = -1 · 210 · 38 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,85,11387] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-110:1] [-15:88:1] |
Generators of the group modulo torsion |
j |
753571/617472 |
j-invariant |
L |
10.610963412943 |
L(r)(E,1)/r! |
Ω |
0.87124378506861 |
Real period |
R |
0.60895489843342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050p1 30150bm1 |
Quadratic twists by: -3 5 |