Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302i |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2370816 |
Modular degree for the optimal curve |
Δ |
-828234137077955712 = -1 · 27 · 39 · 139 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 6 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1423941,655832789] |
[a1,a2,a3,a4,a6] |
j |
-3360844835739/8717696 |
j-invariant |
L |
2.2633642597044 |
L(r)(E,1)/r! |
Ω |
0.28292055167163 |
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 |
94302bq1 7254j1 |
Quadratic twists by: -3 13 |