Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824o |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
-5277781219598447616 = -1 · 210 · 311 · 710 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -4 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101667,-111232942] |
[a1,a2,a3,a4,a6] |
Generators |
[619:7938:1] [1403:50078:1] |
Generators of the group modulo torsion |
j |
-155681229497476/7070073007221 |
j-invariant |
L |
12.298190161847 |
L(r)(E,1)/r! |
Ω |
0.10583980531082 |
Real period |
R |
1.4524533240763 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51912e1 34608a1 |
Quadratic twists by: -4 -3 |