Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
51100w |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-858837700000000 = -1 · 28 · 58 · 76 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7708,-1436412] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1176:1] |
Generators of the group modulo torsion |
j |
-506530000/8588377 |
j-invariant |
L |
3.7248417072324 |
L(r)(E,1)/r! |
Ω |
0.2149193364242 |
Real period |
R |
2.8885579191344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
51100d1 |
Quadratic twists by: 5 |