Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344x |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
74937781973942272 = 220 · 710 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-323020,69424752] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:9261:1] [264:1596:1] |
Generators of the group modulo torsion |
j |
14219097381959625/285864951988 |
j-invariant |
L |
11.723227750291 |
L(r)(E,1)/r! |
Ω |
0.34462247914363 |
Real period |
R |
6.8035188992615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344df2 3542e2 |
Quadratic twists by: -4 8 |