Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ch |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
14907200 = 26 · 52 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- -1 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63,-77] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:11:1] |
Generators of the group modulo torsion |
j |
17559040/9317 |
j-invariant |
L |
3.5637119895169 |
L(r)(E,1)/r! |
Ω |
1.7972501392728 |
Real period |
R |
0.66095641417363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999080633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200c1 61600k1 123200cz1 |
Quadratic twists by: -4 8 5 |