Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952dp |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
255467520 |
Modular degree for the optimal curve |
Δ |
-2.4466109291205E+31 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -6 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1326661917,237252167911906] |
[a1,a2,a3,a4,a6] |
Generators |
[-487153149:1202879302016:79507] |
Generators of the group modulo torsion |
j |
15001431500460925919/1421324083670155776 |
j-invariant |
L |
5.2711480929937 |
L(r)(E,1)/r! |
Ω |
0.016300236022072 |
Real period |
R |
13.474110064876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998313786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994n1 39984cw1 119952gi1 |
Quadratic twists by: -4 -3 -7 |