Atkin-Lehner |
2- 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bi |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-6309235296 = -1 · 25 · 32 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1002,12375] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:95:1] [55:-385:1] |
Generators of the group modulo torsion |
j |
-324384314311/18394272 |
j-invariant |
L |
10.958856574349 |
L(r)(E,1)/r! |
Ω |
1.3216407829239 |
Real period |
R |
0.13819761915102 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974cc1 |
Quadratic twists by: -7 |