Atkin-Lehner |
2+ 3+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118992h |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10321981030656 = 28 · 38 · 372 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5492,27360] |
[a1,a2,a3,a4,a6] |
Generators |
[-37750540:220490424:614125] |
Generators of the group modulo torsion |
j |
71573854773328/40320238401 |
j-invariant |
L |
6.6309418232995 |
L(r)(E,1)/r! |
Ω |
0.62352074300757 |
Real period |
R |
10.63467713714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049924 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59496h2 |
Quadratic twists by: -4 |