Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304du |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-2526928665870336 = -1 · 215 · 3 · 711 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22017,-2733249] |
[a1,a2,a3,a4,a6] |
Generators |
[3761:230496:1] |
Generators of the group modulo torsion |
j |
-306182024/655473 |
j-invariant |
L |
4.6830264924323 |
L(r)(E,1)/r! |
Ω |
0.1836565555521 |
Real period |
R |
3.1873532070297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304bi1 61152n1 17472f1 |
Quadratic twists by: -4 8 -7 |