Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368cg |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
87378395922432 = 222 · 36 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 0 2 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87267,-9912350] |
[a1,a2,a3,a4,a6] |
Generators |
[354:1886:1] |
Generators of the group modulo torsion |
j |
24614236831969/29262848 |
j-invariant |
L |
4.8954431463592 |
L(r)(E,1)/r! |
Ω |
0.27779091950269 |
Real period |
R |
4.4056903913392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12546h1 11152o1 |
Quadratic twists by: -4 -3 |