Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bu |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-1018209567156655104 = -1 · 210 · 32 · 79 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,193941,-35644071] |
[a1,a2,a3,a4,a6] |
Generators |
[1987:-91546:1] |
Generators of the group modulo torsion |
j |
6857159064725087/8654638519296 |
j-invariant |
L |
10.255993805122 |
L(r)(E,1)/r! |
Ω |
0.14833639805641 |
Real period |
R |
0.17285025690687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854t1 |
Quadratic twists by: -7 |