Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bp |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
8484226832793600 = 220 · 313 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67883,-5150469] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:1026:1] |
Generators of the group modulo torsion |
j |
47454048237634921/11638171238400 |
j-invariant |
L |
7.3499349813108 |
L(r)(E,1)/r! |
Ω |
0.30106986308406 |
Real period |
R |
0.61031805923885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090e1 91350bh1 127890gc1 |
Quadratic twists by: -3 5 -7 |