Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100h |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
102187008 |
Modular degree for the optimal curve |
Δ |
2.9278945594631E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53550884700,-4769777149923375] |
[a1,a2,a3,a4,a6] |
Generators |
[-163671867340:2862125:1225043] |
Generators of the group modulo torsion |
j |
3451376687017714259756433408/5950098175 |
j-invariant |
L |
7.3891608499862 |
L(r)(E,1)/r! |
Ω |
0.0099244830000997 |
Real period |
R |
8.8635549939242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100m1 21420c1 |
Quadratic twists by: -3 5 |