Atkin-Lehner |
2+ 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450h |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-363640625000 = -1 · 23 · 59 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1674,-11952] |
[a1,a2,a3,a4,a6] |
j |
265847707/186184 |
j-invariant |
L |
2.1571796637893 |
L(r)(E,1)/r! |
Ω |
0.53929491594853 |
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 |
31450t1 |
Quadratic twists by: 5 |