Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640r |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
117 |
Product of Tamagawa factors cp |
deg |
1287936 |
Modular degree for the optimal curve |
Δ |
196445566406250000 = 24 · 39 · 513 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169240,16173275] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:5625:1] |
Generators of the group modulo torsion |
j |
33505441546231388416/12277847900390625 |
j-invariant |
L |
9.0095862375639 |
L(r)(E,1)/r! |
Ω |
0.29097668687595 |
Real period |
R |
0.26464323247023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999466451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61320j1 |
Quadratic twists by: -4 |