Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12274h |
Isogeny class |
Conductor |
12274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
150505414496498948 = 22 · 17 · 1912 |
Discriminant |
Eigenvalues |
2+ 2 0 2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1650860,815518844] |
[a1,a2,a3,a4,a6] |
Generators |
[2378985:4361063:3375] |
Generators of the group modulo torsion |
j |
10576287595212625/3199119908 |
j-invariant |
L |
5.1362328128609 |
L(r)(E,1)/r! |
Ω |
0.318207417882 |
Real period |
R |
8.0705736639451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98192x3 110466bf3 646e3 |
Quadratic twists by: -4 -3 -19 |