Atkin-Lehner |
2- 3- 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970br |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-265779504268560 = -1 · 24 · 36 · 5 · 31 · 435 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 -2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26573,-1835899] |
[a1,a2,a3,a4,a6] |
Generators |
[265791:26233562:27] |
Generators of the group modulo torsion |
j |
-2846443870548361/364580938640 |
j-invariant |
L |
8.0801517111239 |
L(r)(E,1)/r! |
Ω |
0.18563714571975 |
Real period |
R |
10.88164736943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998484736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13330a1 |
Quadratic twists by: -3 |