Atkin-Lehner |
3+ 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104811h |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-19588781915451 = -1 · 35 · 76 · 23 · 313 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- -2 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-127122,17489072] |
[a1,a2,a3,a4,a6] |
Generators |
[236:759:1] |
Generators of the group modulo torsion |
j |
-1931083438845952/166501899 |
j-invariant |
L |
1.4624626848982 |
L(r)(E,1)/r! |
Ω |
0.65456615063856 |
Real period |
R |
0.37237456107757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999087606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2139e1 |
Quadratic twists by: -7 |