Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974by |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
510 |
Product of Tamagawa factors cp |
deg |
1468800 |
Modular degree for the optimal curve |
Δ |
-3786539349097709568 = -1 · 217 · 33 · 73 · 133 · 175 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,184281,88547913] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:5829:1] |
Generators of the group modulo torsion |
j |
2017767514078483721/11039473320984576 |
j-invariant |
L |
11.046555065436 |
L(r)(E,1)/r! |
Ω |
0.17928649783774 |
Real period |
R |
0.12081172957142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974bl1 |
Quadratic twists by: -7 |