Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
49840u |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-136760960000000 = -1 · 213 · 57 · 74 · 89 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23080,-1469900] |
[a1,a2,a3,a4,a6] |
Generators |
[390:-7000:1] |
Generators of the group modulo torsion |
j |
-331963239764521/33388906250 |
j-invariant |
L |
8.5113591148655 |
L(r)(E,1)/r! |
Ω |
0.19257090164541 |
Real period |
R |
0.39463011889159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230c1 |
Quadratic twists by: -4 |