Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120s |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-69641775000000 = -1 · 26 · 34 · 58 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7714,-302736] |
[a1,a2,a3,a4,a6] |
j |
793097061902144/1088152734375 |
j-invariant |
L |
3.9375784089502 |
L(r)(E,1)/r! |
Ω |
0.32813153431423 |
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 |
57120a1 114240hq1 |
Quadratic twists by: -4 8 |