Atkin-Lehner |
2+ 3- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658be |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1605120 |
Modular degree for the optimal curve |
Δ |
-460816925797998 = -1 · 2 · 311 · 74 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11+ 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-304708,64722872] |
[a1,a2,a3,a4,a6] |
Generators |
[370:-1819:1] |
Generators of the group modulo torsion |
j |
-1303109986596104281/191927082798 |
j-invariant |
L |
3.8056359845619 |
L(r)(E,1)/r! |
Ω |
0.50874688320532 |
Real period |
R |
0.34001869886427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658t1 |
Quadratic twists by: -7 |