Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600dg |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-18817920000 = -1 · 210 · 35 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,-69188] |
[a1,a2,a3,a4,a6] |
j |
-47162500/243 |
j-invariant |
L |
1.9024669614797 |
L(r)(E,1)/r! |
Ω |
0.31707782055962 |
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 |
72600bt1 72600ba1 |
Quadratic twists by: 5 -11 |