Atkin-Lehner |
3+ 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
102225c |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55008 |
Modular degree for the optimal curve |
Δ |
-24840675 = -1 · 36 · 52 · 29 · 47 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 5 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-428,3563] |
[a1,a2,a3,a4,a6] |
j |
-347639664640/993627 |
j-invariant |
L |
4.2641615801715 |
L(r)(E,1)/r! |
Ω |
2.132080634837 |
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 |
102225p1 |
Quadratic twists by: 5 |