Atkin-Lehner |
2+ 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520p |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-955900000000 = -1 · 28 · 58 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2353,16814] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:110:1] [73:760:1] |
Generators of the group modulo torsion |
j |
5627940902064/3733984375 |
j-invariant |
L |
10.670272553188 |
L(r)(E,1)/r! |
Ω |
0.55295942566063 |
Real period |
R |
2.4120830702039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34760l1 |
Quadratic twists by: -4 |