Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400cr |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-346223255343750000 = -1 · 24 · 33 · 59 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,89042,-26427713] |
[a1,a2,a3,a4,a6] |
j |
2498351450368/11079144171 |
j-invariant |
L |
2.1452173258695 |
L(r)(E,1)/r! |
Ω |
0.15322980899068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5100t1 81600jx1 61200gs1 20400ds1 |
Quadratic twists by: -4 8 -3 5 |