Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430v |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
4.5457727286694E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-475495470,3990989738196] |
[a1,a2,a3,a4,a6] |
Generators |
[-23537:1475681:1] |
Generators of the group modulo torsion |
j |
138626767243242683688529/5300196249600 |
j-invariant |
L |
4.7878018155563 |
L(r)(E,1)/r! |
Ω |
0.12342825457162 |
Real period |
R |
9.6975401665495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790607 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810di1 14490s1 |
Quadratic twists by: -3 -7 |