Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344ds |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
3688026969088 = 210 · 76 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40360,-3119496] |
[a1,a2,a3,a4,a6] |
Generators |
[6330:14896:27] |
Generators of the group modulo torsion |
j |
7100308654848000/3601588837 |
j-invariant |
L |
4.8188488541467 |
L(r)(E,1)/r! |
Ω |
0.3368410303485 |
Real period |
R |
4.7686677321045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344r1 28336i1 |
Quadratic twists by: -4 8 |