Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
45920h |
Isogeny class |
Conductor |
45920 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
158720 |
Modular degree for the optimal curve |
Δ |
61525625000000 = 26 · 510 · 74 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30730,2028600] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-700:1] |
Generators of the group modulo torsion |
j |
50147068654327744/961337890625 |
j-invariant |
L |
5.0808051603541 |
L(r)(E,1)/r! |
Ω |
0.62326311849595 |
Real period |
R |
0.4075971294923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45920d1 91840j1 |
Quadratic twists by: -4 8 |