Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840cm |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-91715095756800 = -1 · 218 · 311 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -7 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10175,240575] |
[a1,a2,a3,a4,a6] |
Generators |
[95:1440:1] [-1:480:1] |
Generators of the group modulo torsion |
j |
444369620591/349865325 |
j-invariant |
L |
13.056000451843 |
L(r)(E,1)/r! |
Ω |
0.38748888690804 |
Real period |
R |
0.38288489428044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840o1 18960f1 |
Quadratic twists by: -4 8 |