Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800d |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-38709900000000 = -1 · 28 · 38 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4492,274512] |
[a1,a2,a3,a4,a6] |
Generators |
[37:700:1] |
Generators of the group modulo torsion |
j |
2505453104/9677475 |
j-invariant |
L |
5.83961552596 |
L(r)(E,1)/r! |
Ω |
0.46114324583712 |
Real period |
R |
3.1658359833319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35400g2 14160j2 |
Quadratic twists by: -4 5 |