Atkin-Lehner |
2+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738f |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-84982591583332352 = -1 · 211 · 7 · 1310 · 43 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ -5 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-113064,20222272] |
[a1,a2,a3,a4,a6] |
j |
-33116363266897/17606371328 |
j-invariant |
L |
1.268560764842 |
L(r)(E,1)/r! |
Ω |
0.31714011759775 |
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 |
7826m1 |
Quadratic twists by: 13 |