Atkin-Lehner |
3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83391k |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
208778624901 = 33 · 7 · 115 · 193 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1716,-15730] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:104:1] |
Generators of the group modulo torsion |
j |
81520685056/30438639 |
j-invariant |
L |
2.7108851220923 |
L(r)(E,1)/r! |
Ω |
0.76518309510014 |
Real period |
R |
0.35427927527356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83391t1 |
Quadratic twists by: -19 |