Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720bc |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
478464 |
Modular degree for the optimal curve |
Δ |
-740266331840 = -1 · 26 · 5 · 77 · 532 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-384795,91745783] |
[a1,a2,a3,a4,a6] |
Generators |
[358:7:1] |
Generators of the group modulo torsion |
j |
-98453946048618525184/11566661435 |
j-invariant |
L |
10.512514291731 |
L(r)(E,1)/r! |
Ω |
0.69755470269105 |
Real period |
R |
1.0764659383865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720z1 59360c1 |
Quadratic twists by: -4 8 |