Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39192g |
Isogeny class |
Conductor |
39192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1727291249559062784 = 28 · 314 · 234 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1544244,736424964] |
[a1,a2,a3,a4,a6] |
Generators |
[521192:14935418:343] |
Generators of the group modulo torsion |
j |
1590859390591004429392/6747231443590089 |
j-invariant |
L |
4.320556046505 |
L(r)(E,1)/r! |
Ω |
0.2666447372871 |
Real period |
R |
8.101708832626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78384i2 117576f2 |
Quadratic twists by: -4 -3 |