Atkin-Lehner |
2+ 3+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
55752c |
Isogeny class |
Conductor |
55752 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4230144 |
Modular degree for the optimal curve |
Δ |
-3.9543915773262E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -2 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3664728,1363369644] |
[a1,a2,a3,a4,a6] |
Generators |
[269:48668:1] |
Generators of the group modulo torsion |
j |
2657779090880608652974/1930855262366300607 |
j-invariant |
L |
1.6028632963478 |
L(r)(E,1)/r! |
Ω |
0.088619170412604 |
Real period |
R |
3.0145157248229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111504g1 |
Quadratic twists by: -4 |