Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072ba |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4718592 |
Modular degree for the optimal curve |
Δ |
-2.0640963406187E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6438849,2869204354] |
[a1,a2,a3,a4,a6] |
Generators |
[40634:8207082:1] |
Generators of the group modulo torsion |
j |
158190697038714354992/110601870103451727 |
j-invariant |
L |
4.5134968519764 |
L(r)(E,1)/r! |
Ω |
0.076786307602646 |
Real period |
R |
7.3474962390573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024l1 |
Quadratic twists by: -3 |