Atkin-Lehner |
2- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
122816g |
Isogeny class |
Conductor |
122816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
645888 |
Modular degree for the optimal curve |
Δ |
380865188864 = 210 · 192 · 1013 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1373709,-620170589] |
[a1,a2,a3,a4,a6] |
Generators |
[1115406:21406445:729] |
Generators of the group modulo torsion |
j |
279967940390805956608/371938661 |
j-invariant |
L |
3.1564633049487 |
L(r)(E,1)/r! |
Ω |
0.13945235168127 |
Real period |
R |
7.5449029166881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998103307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122816c1 30704a1 |
Quadratic twists by: -4 8 |