Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200bg |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-45796032000 = -1 · 29 · 32 · 53 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,312,-9972] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1380:1] |
Generators of the group modulo torsion |
j |
52313624/715563 |
j-invariant |
L |
7.9366225191064 |
L(r)(E,1)/r! |
Ω |
0.55627671204044 |
Real period |
R |
3.566850075606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200n1 103200cc1 |
Quadratic twists by: -4 5 |