Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bz |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-145530000000000 = -1 · 210 · 33 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 0 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38376,-2964060] |
[a1,a2,a3,a4,a6] |
j |
-124571332105444/2900390625 |
j-invariant |
L |
2.0437924482526 |
L(r)(E,1)/r! |
Ω |
0.17031611350013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680a1 129360bh1 |
Quadratic twists by: -4 -7 |