Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416be |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1602671616 = 210 · 33 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231864,-42973240] |
[a1,a2,a3,a4,a6] |
Generators |
[6754:152425:8] |
Generators of the group modulo torsion |
j |
49860882714802176/57967 |
j-invariant |
L |
7.6099967995213 |
L(r)(E,1)/r! |
Ω |
0.21756609846046 |
Real period |
R |
5.8296435377467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416dy1 6552c1 52416bf1 |
Quadratic twists by: -4 8 -3 |