Atkin-Lehner |
3+ 5+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825d |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
2614775052392578125 = 35 · 511 · 195 · 89 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 2 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-347758,13452543] |
[a1,a2,a3,a4,a6] |
j |
297670860885569536/167345603353125 |
j-invariant |
L |
2.2124684971486 |
L(r)(E,1)/r! |
Ω |
0.2212470645223 |
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 |
25365h1 |
Quadratic twists by: 5 |