Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158bb |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-708356161717056 = -1 · 26 · 36 · 177 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21958,-257785] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-2381:1] [51:973:1] |
Generators of the group modulo torsion |
j |
48507321023/29346624 |
j-invariant |
L |
10.907277665435 |
L(r)(E,1)/r! |
Ω |
0.29525167054075 |
Real period |
R |
0.76963138242906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3774q1 |
Quadratic twists by: 17 |