Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480i |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12294374400 = 210 · 34 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1176,14976] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:140:1] |
Generators of the group modulo torsion |
j |
175798419556/12006225 |
j-invariant |
L |
3.9351510475342 |
L(r)(E,1)/r! |
Ω |
1.2428786619891 |
Real period |
R |
0.79153966671944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240bb2 73920ic2 55440bl2 92400cb2 |
Quadratic twists by: -4 8 -3 5 |