Atkin-Lehner |
2- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15640i |
Isogeny class |
Conductor |
15640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1406505200 = -1 · 24 · 52 · 172 · 233 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -2 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,220,1225] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-115:1] |
Generators of the group modulo torsion |
j |
73264941824/87906575 |
j-invariant |
L |
4.7849140238595 |
L(r)(E,1)/r! |
Ω |
1.0150293807023 |
Real period |
R |
0.19641935637653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31280h1 125120t1 78200b1 |
Quadratic twists by: -4 8 5 |