Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1848b |
Isogeny class |
Conductor |
1848 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8351171155084843008 = 211 · 312 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-640232,-139597332] |
[a1,a2,a3,a4,a6] |
Generators |
[-479:7546:1] |
Generators of the group modulo torsion |
j |
14171198121996897746/4077720290568771 |
j-invariant |
L |
2.8456276537344 |
L(r)(E,1)/r! |
Ω |
0.17248254309111 |
Real period |
R |
1.3748384825584 |
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 |
3696i3 14784bf3 5544t3 46200cu4 |
Quadratic twists by: -4 8 -3 5 |