Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bu |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1507968 |
Modular degree for the optimal curve |
Δ |
-15840944569051875 = -1 · 37 · 54 · 74 · 136 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 6 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-52446,7600961] |
[a1,a2,a3,a4,a6] |
j |
-1376628736/1366875 |
j-invariant |
L |
5.0022026862127 |
L(r)(E,1)/r! |
Ω |
0.35730025097445 |
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 |
124215bh1 735f1 |
Quadratic twists by: -7 13 |