Atkin-Lehner |
2- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45136g |
Isogeny class |
Conductor |
45136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3700386206325932032 = -1 · 220 · 710 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 0 4 7+ -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,110317,91470290] |
[a1,a2,a3,a4,a6] |
Generators |
[-369759566265:6507198489178:1207949625] |
Generators of the group modulo torsion |
j |
36248587917075351/903414601153792 |
j-invariant |
L |
7.4080112072494 |
L(r)(E,1)/r! |
Ω |
0.18686991713925 |
Real period |
R |
19.821304896601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5642g2 |
Quadratic twists by: -4 |