Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800fc |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-394243200000000 = -1 · 213 · 36 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79875,8741250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:2600:1] |
Generators of the group modulo torsion |
j |
-48317985/338 |
j-invariant |
L |
5.9924005734315 |
L(r)(E,1)/r! |
Ω |
0.53651956569613 |
Real period |
R |
0.46537605185256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850w1 5200bk1 46800cu1 |
Quadratic twists by: -4 -3 5 |