Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240x |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-529365058593750000 = -1 · 24 · 313 · 513 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68793,-34309631] |
[a1,a2,a3,a4,a6] |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
3.7239729393687 |
L(r)(E,1)/r! |
Ω |
0.14322972843726 |
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 |
6120y1 48960ez1 4080m1 61200bn1 |
Quadratic twists by: -4 8 -3 5 |