Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650bp |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
517440 |
Modular degree for the optimal curve |
Δ |
-61306639966000000 = -1 · 27 · 56 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11+ 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97745,-1911753] |
[a1,a2,a3,a4,a6] |
Generators |
[3963:248246:1] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
10.146693838441 |
L(r)(E,1)/r! |
Ω |
0.20494807033247 |
Real period |
R |
3.5363291994027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146a1 78650a1 |
Quadratic twists by: 5 -11 |