Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570h |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-120628460925000 = -1 · 23 · 33 · 55 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-84942,9507996] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-206:1] |
Generators of the group modulo torsion |
j |
-11757495687721/20925000 |
j-invariant |
L |
3.7098462155527 |
L(r)(E,1)/r! |
Ω |
0.5892403933146 |
Real period |
R |
0.41973205476615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570z1 |
Quadratic twists by: -7 |