Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
64158k |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
10340352 |
Modular degree for the optimal curve |
Δ |
-2.4336414930536E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23719247,-50411349195] |
[a1,a2,a3,a4,a6] |
Generators |
[7778:481625:1] |
Generators of the group modulo torsion |
j |
-211560732786353401/34887128941008 |
j-invariant |
L |
2.1723775528992 |
L(r)(E,1)/r! |
Ω |
0.033898960567293 |
Real period |
R |
1.7801082951421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64158u1 |
Quadratic twists by: 17 |