Atkin-Lehner |
2+ 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974s |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-49910037726747744 = -1 · 25 · 33 · 72 · 132 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 1 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59127,12084538] |
[a1,a2,a3,a4,a6] |
Generators |
[13844:1621737:1] |
Generators of the group modulo torsion |
j |
-466524661159336633/1018572198505056 |
j-invariant |
L |
7.0753462985991 |
L(r)(E,1)/r! |
Ω |
0.31658355234034 |
Real period |
R |
1.8624220593674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974c1 |
Quadratic twists by: -7 |