Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64240n |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
346752 |
Modular degree for the optimal curve |
Δ |
-2379981971783680 = -1 · 226 · 5 · 113 · 732 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47616,4653056] |
[a1,a2,a3,a4,a6] |
Generators |
[1058:33726:1] |
Generators of the group modulo torsion |
j |
-2914953381186049/581050286080 |
j-invariant |
L |
6.782680263967 |
L(r)(E,1)/r! |
Ω |
0.44035594091263 |
Real period |
R |
2.5671203805632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8030g1 |
Quadratic twists by: -4 |