Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464bj |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-24918338285568 = -1 · 212 · 33 · 73 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36933,-2730195] |
[a1,a2,a3,a4,a6] |
Generators |
[260:2275:1] |
Generators of the group modulo torsion |
j |
-1360251712000000/6083578683 |
j-invariant |
L |
5.5660829648041 |
L(r)(E,1)/r! |
Ω |
0.17214670760797 |
Real period |
R |
2.6944473840372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279j1 |
Quadratic twists by: -4 |