Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290by |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-4272116893636268600 = -1 · 23 · 52 · 77 · 1110 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2525877,1547279749] |
[a1,a2,a3,a4,a6] |
j |
-584043889/1400 |
j-invariant |
L |
1.97324278407 |
L(r)(E,1)/r! |
Ω |
0.24665534790637 |
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 |
8470c1 59290em1 |
Quadratic twists by: -7 -11 |