Atkin-Lehner |
3+ 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119325a |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-41390859375 = -1 · 32 · 57 · 372 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813,12906] |
[a1,a2,a3,a4,a6] |
j |
-3803721481/2649015 |
j-invariant |
L |
2.1107280396753 |
L(r)(E,1)/r! |
Ω |
1.0553647550779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23865f1 |
Quadratic twists by: 5 |