Atkin-Lehner |
2- 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350x |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-135357875000000000 = -1 · 29 · 512 · 233 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,115287,9339031] |
[a1,a2,a3,a4,a6] |
Generators |
[455:12272:1] [95:-4648:1] |
Generators of the group modulo torsion |
j |
10845372298506551/8662904000000 |
j-invariant |
L |
13.937669074409 |
L(r)(E,1)/r! |
Ω |
0.21130709494623 |
Real period |
R |
0.61073430343754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20470a2 |
Quadratic twists by: 5 |