Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450r |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
892687500 = 22 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14388,658281] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:1187:1] |
Generators of the group modulo torsion |
j |
21081759765625/57132 |
j-invariant |
L |
4.1718218401534 |
L(r)(E,1)/r! |
Ω |
1.3685645753912 |
Real period |
R |
1.5241596615786 |
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 |
27600cm2 110400dy2 10350l2 138b2 |
Quadratic twists by: -4 8 -3 5 |