Atkin-Lehner |
2+ 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75166b |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
318528 |
Modular degree for the optimal curve |
Δ |
-235441482838016 = -1 · 212 · 78 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ -4 13- 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6639,-705515] |
[a1,a2,a3,a4,a6] |
Generators |
[66:127:1] |
Generators of the group modulo torsion |
j |
5612355623/40841216 |
j-invariant |
L |
3.1754090589405 |
L(r)(E,1)/r! |
Ω |
0.27719295425272 |
Real period |
R |
2.8638977022068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75166c1 |
Quadratic twists by: -7 |