Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gz |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
257402880 |
Modular degree for the optimal curve |
Δ |
-3.3063512620341E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4462675016,144291425076084] |
[a1,a2,a3,a4,a6] |
Generators |
[6484:10753050:1] |
Generators of the group modulo torsion |
j |
-59465789423385795028207/20003531867239219200 |
j-invariant |
L |
8.4621299568952 |
L(r)(E,1)/r! |
Ω |
0.023721510740355 |
Real period |
R |
4.2467633331996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170h1 129360fu1 |
Quadratic twists by: -4 -7 |