Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gs |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-650851200000000 = -1 · 213 · 38 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37875,3091250] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1350:1] |
Generators of the group modulo torsion |
j |
-5151505/558 |
j-invariant |
L |
8.909160783172 |
L(r)(E,1)/r! |
Ω |
0.49837351483742 |
Real period |
R |
0.74485305077439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bk1 37200cm1 111600fj1 |
Quadratic twists by: -4 -3 5 |