Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8880x |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
8.7462426779326E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22774216,39330613364] |
[a1,a2,a3,a4,a6] |
Generators |
[455:170478:1] |
Generators of the group modulo torsion |
j |
318929057401476905525449/21353131537921474560 |
j-invariant |
L |
5.3406850103491 |
L(r)(E,1)/r! |
Ω |
0.10558812386425 |
Real period |
R |
6.3225446372351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1110c1 35520ch1 26640bu1 44400bo1 |
Quadratic twists by: -4 8 -3 5 |