Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310k |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6608385000 = 23 · 36 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14175,653125] |
[a1,a2,a3,a4,a6] |
Generators |
[53:194:1] |
Generators of the group modulo torsion |
j |
432098362306801/9065000 |
j-invariant |
L |
3.8463713979985 |
L(r)(E,1)/r! |
Ω |
1.2311574384059 |
Real period |
R |
1.5620956662451 |
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 |
2590e2 116550eu2 |
Quadratic twists by: -3 5 |