Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800dg |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-97615168750000 = -1 · 24 · 58 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11- -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8000,549375] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:7225:8] |
Generators of the group modulo torsion |
j |
-9059696640/15618427 |
j-invariant |
L |
6.5688146185879 |
L(r)(E,1)/r! |
Ω |
0.5363105546941 |
Real period |
R |
0.81654364363416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18700k1 74800br1 |
Quadratic twists by: -4 5 |