Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215m |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
678912 |
Modular degree for the optimal curve |
Δ |
-113317233107715 = -1 · 34 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -3 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5126,-529579] |
[a1,a2,a3,a4,a6] |
j |
-53248/405 |
j-invariant |
L |
0.99693111637011 |
L(r)(E,1)/r! |
Ω |
0.24923342888029 |
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 |
124215da1 124215bi1 |
Quadratic twists by: -7 13 |