Atkin-Lehner |
2+ 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71920d |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
1010251250000 = 24 · 57 · 292 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25742,1588951] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1550:1] |
Generators of the group modulo torsion |
j |
117904556057389056/63140703125 |
j-invariant |
L |
6.4733484336962 |
L(r)(E,1)/r! |
Ω |
0.8662213689178 |
Real period |
R |
1.0675839861158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35960b1 |
Quadratic twists by: -4 |