Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
1830c |
Isogeny class |
Conductor |
1830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-130741056000 = -1 · 29 · 32 · 53 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -7 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69,17392] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:102:1] |
Generators of the group modulo torsion |
j |
-35578826569/130741056000 |
j-invariant |
L |
2.5350409281782 |
L(r)(E,1)/r! |
Ω |
0.83502702284862 |
Real period |
R |
0.50597981837963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14640u2 58560o2 5490w2 9150t2 |
Quadratic twists by: -4 8 -3 5 |