Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400dh |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-755200000000 = -1 · 215 · 58 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -4 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,-137537] |
[a1,a2,a3,a4,a6] |
Generators |
[83:200:1] |
Generators of the group modulo torsion |
j |
-975560/59 |
j-invariant |
L |
3.8142475155667 |
L(r)(E,1)/r! |
Ω |
0.28529163189707 |
Real period |
R |
1.1141369900236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400dn1 47200q1 94400by1 |
Quadratic twists by: -4 8 5 |