Atkin-Lehner |
3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53025r |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
6292723336962890625 = 312 · 511 · 74 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-462063,6928992] |
[a1,a2,a3,a4,a6] |
j |
698244181406954281/402734293565625 |
j-invariant |
L |
2.4326006988396 |
L(r)(E,1)/r! |
Ω |
0.20271672483283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10605c1 |
Quadratic twists by: 5 |