Atkin-Lehner |
3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745bc |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
20169221985 = 32 · 5 · 117 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28740,1872927] |
[a1,a2,a3,a4,a6] |
j |
1481933914201/11385 |
j-invariant |
L |
2.1807466211306 |
L(r)(E,1)/r! |
Ω |
1.0903733106327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
125235w1 3795k1 |
Quadratic twists by: -3 -11 |