Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64600n |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
408960 |
Modular degree for the optimal curve |
Δ |
-2493132585728000 = -1 · 211 · 53 · 175 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 5 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179528,29436652] |
[a1,a2,a3,a4,a6] |
Generators |
[237:380:1] |
Generators of the group modulo torsion |
j |
-2499670380341626/9738799163 |
j-invariant |
L |
5.8817648712468 |
L(r)(E,1)/r! |
Ω |
0.45977879467136 |
Real period |
R |
2.1320995152532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200v1 64600bb1 |
Quadratic twists by: -4 5 |