Atkin-Lehner |
2- 5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75050h |
Isogeny class |
Conductor |
75050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-948632000000 = -1 · 29 · 56 · 19 · 792 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -4 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2638,69892] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:322:1] [12:-206:1] |
Generators of the group modulo torsion |
j |
-129938649625/60712448 |
j-invariant |
L |
16.042428729971 |
L(r)(E,1)/r! |
Ω |
0.82370644848675 |
Real period |
R |
0.54099736756676 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3002a1 |
Quadratic twists by: 5 |