Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304c |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-71417318824368 = -1 · 24 · 39 · 112 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5694,371441] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:189:1] |
Generators of the group modulo torsion |
j |
1750364874752/6122883987 |
j-invariant |
L |
4.2612581114763 |
L(r)(E,1)/r! |
Ω |
0.43644120207225 |
Real period |
R |
2.4409119093497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58608n1 9768o1 |
Quadratic twists by: -4 -3 |