Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2464i |
Isogeny class |
Conductor |
2464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-6559168 = -1 · 26 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78,-320] |
[a1,a2,a3,a4,a6] |
Generators |
[21:88:1] |
Generators of the group modulo torsion |
j |
-830584000/102487 |
j-invariant |
L |
2.3594138182852 |
L(r)(E,1)/r! |
Ω |
0.79687981870103 |
Real period |
R |
1.4804075614132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2464b1 4928be1 22176s1 61600bi1 |
Quadratic twists by: -4 8 -3 5 |