Atkin-Lehner |
3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52275c |
Isogeny class |
Conductor |
52275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70080 |
Modular degree for the optimal curve |
Δ |
-551337890625 = -1 · 34 · 510 · 17 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -2 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4700,127125] |
[a1,a2,a3,a4,a6] |
j |
-1176147025/56457 |
j-invariant |
L |
1.8263471740342 |
L(r)(E,1)/r! |
Ω |
0.91317358707466 |
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 |
52275j1 |
Quadratic twists by: 5 |