Atkin-Lehner |
2+ 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560ba |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-7148010240 = -1 · 28 · 35 · 5 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55,4083] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:63:1] |
Generators of the group modulo torsion |
j |
70575104/27921915 |
j-invariant |
L |
9.4939848547531 |
L(r)(E,1)/r! |
Ω |
1.0297111008031 |
Real period |
R |
0.61466980494948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56280f1 |
Quadratic twists by: -4 |