Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bm |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
131873987649600 = 26 · 36 · 52 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20998,-1034344] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:413:1] |
Generators of the group modulo torsion |
j |
8702409880009/1120910400 |
j-invariant |
L |
4.8555320641287 |
L(r)(E,1)/r! |
Ω |
0.39996952944093 |
Real period |
R |
1.0116462435909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
930a2 |
Quadratic twists by: -7 |