Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350s |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
52942906250 = 2 · 56 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3655,-83403] |
[a1,a2,a3,a4,a6] |
j |
345505073913/3388346 |
j-invariant |
L |
2.4575600089171 |
L(r)(E,1)/r! |
Ω |
0.61439000222927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98800bu3 111150cc3 494b3 |
Quadratic twists by: -4 -3 5 |