Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200ch |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-42839076372480000 = -1 · 220 · 313 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1128008,-460854288] |
[a1,a2,a3,a4,a6] |
Generators |
[65722963083308:1525213852697984:43874924183] |
Generators of the group modulo torsion |
j |
-62004137551272025/16734014208 |
j-invariant |
L |
6.2167364888145 |
L(r)(E,1)/r! |
Ω |
0.073246090731782 |
Real period |
R |
21.218663094183 |
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 |
6150s1 49200da1 |
Quadratic twists by: -4 5 |