Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480a |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
209515299840 = 210 · 312 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8456,-295680] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:18:1] |
Generators of the group modulo torsion |
j |
65308549273636/204604785 |
j-invariant |
L |
3.2698299755808 |
L(r)(E,1)/r! |
Ω |
0.49795010644632 |
Real period |
R |
3.2832907687442 |
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 |
9240be3 73920hp4 55440bg4 92400ci4 |
Quadratic twists by: -4 8 -3 5 |