Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440bv |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
11813688320 = 210 · 5 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15965,-781757] |
[a1,a2,a3,a4,a6] |
Generators |
[183:1568:1] |
Generators of the group modulo torsion |
j |
439498833516544/11536805 |
j-invariant |
L |
4.9390640882477 |
L(r)(E,1)/r! |
Ω |
0.42472296200148 |
Real period |
R |
2.9072269046336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440dk1 8680f1 |
Quadratic twists by: -4 8 |