Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
75140f |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4883760 |
Modular degree for the optimal curve |
Δ |
-1.619208032438E+23 |
Discriminant |
Eigenvalues |
2- 0 5- -2 1 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9437873,15820046694] |
[a1,a2,a3,a4,a6] |
Generators |
[11769704381700970892331736121166062630235656163850:1022635206775638746682568019998105409494065023309574:2318630849391797488465107891161626579522484375] |
Generators of the group modulo torsion |
j |
180142804656/313742585 |
j-invariant |
L |
5.5032549478066 |
L(r)(E,1)/r! |
Ω |
0.070052225937282 |
Real period |
R |
78.559315912869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75140a1 |
Quadratic twists by: 17 |