Atkin-Lehner |
2- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12710m |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15524388010000 = 24 · 54 · 314 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20607,1127831] |
[a1,a2,a3,a4,a6] |
j |
967716770364618561/15524388010000 |
j-invariant |
L |
2.8003061662504 |
L(r)(E,1)/r! |
Ω |
0.70007654156259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101680be2 114390e2 63550c2 |
Quadratic twists by: -4 -3 5 |