Atkin-Lehner |
2+ 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350m |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2475200000000 = -1 · 212 · 58 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1475,-71875] |
[a1,a2,a3,a4,a6] |
Generators |
[250:3875:1] |
Generators of the group modulo torsion |
j |
22689222191/158412800 |
j-invariant |
L |
3.1411272147761 |
L(r)(E,1)/r! |
Ω |
0.40563658777089 |
Real period |
R |
1.9359244876491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470k1 |
Quadratic twists by: 5 |