Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680o |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
10813440 |
Modular degree for the optimal curve |
Δ |
6.2969656930055E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55609121,-159593603679] |
[a1,a2,a3,a4,a6] |
Generators |
[-4304:665:1] |
Generators of the group modulo torsion |
j |
72547406094380206981321/240210178108425 |
j-invariant |
L |
3.9822749622559 |
L(r)(E,1)/r! |
Ω |
0.055285740728008 |
Real period |
R |
1.5006412438569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998770597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ew1 1995g1 |
Quadratic twists by: -4 8 |