Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215n |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-13420809675 = -1 · 33 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1486,-22254] |
[a1,a2,a3,a4,a6] |
j |
-18264064/675 |
j-invariant |
L |
0.76723612734479 |
L(r)(E,1)/r! |
Ω |
0.38361823142358 |
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 |
2535l1 124215bg1 |
Quadratic twists by: -7 13 |