Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360j |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.9254958348954E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3306963,-2216315738] |
[a1,a2,a3,a4,a6] |
Generators |
[-1051:9918:1] |
Generators of the group modulo torsion |
j |
10715544157908977288/515875727370375 |
j-invariant |
L |
4.6579963123345 |
L(r)(E,1)/r! |
Ω |
0.11228889050136 |
Real period |
R |
2.5926408945807 |
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 |
27360v3 54720bn3 9120r3 |
Quadratic twists by: -4 8 -3 |