Atkin-Lehner |
2+ 3- 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226i |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-6809279904 = -1 · 25 · 36 · 73 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 2 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7425,248157] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-12:1] |
Generators of the group modulo torsion |
j |
-62103840598801/9340576 |
j-invariant |
L |
3.8937767855019 |
L(r)(E,1)/r! |
Ω |
1.2859284957204 |
Real period |
R |
1.5139942844049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11914f1 |
Quadratic twists by: -3 |