Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990d |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2369639993600 = 28 · 52 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3754,48156] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:353:1] [-12:308:1] |
Generators of the group modulo torsion |
j |
3301293169/1337600 |
j-invariant |
L |
3.8822469464826 |
L(r)(E,1)/r! |
Ω |
0.74140634747762 |
Real period |
R |
1.3090820437707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950ck1 2090l1 |
Quadratic twists by: 5 -11 |