Atkin-Lehner |
3+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469l |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
129685245771249 = 34 · 78 · 172 · 312 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77519,-8321524] |
[a1,a2,a3,a4,a6] |
Generators |
[4934:104545:8] |
Generators of the group modulo torsion |
j |
437885240681953/1102306401 |
j-invariant |
L |
2.9325703780343 |
L(r)(E,1)/r! |
Ω |
0.28616280614104 |
Real period |
R |
5.1239544700604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11067f2 |
Quadratic twists by: -7 |