Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9790d |
Isogeny class |
Conductor |
9790 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
12488955866090000 = 24 · 54 · 116 · 893 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59054,-1269744] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:357:1] |
Generators of the group modulo torsion |
j |
22775142322892242009/12488955866090000 |
j-invariant |
L |
1.2267331954864 |
L(r)(E,1)/r! |
Ω |
0.327305232574 |
Real period |
R |
1.8739895873939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
78320bb1 88110ci1 48950x1 107690bd1 |
Quadratic twists by: -4 -3 5 -11 |