Atkin-Lehner |
2+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40376c |
Isogeny class |
Conductor |
40376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
485376 |
Modular degree for the optimal curve |
Δ |
-173721454592 = -1 · 211 · 77 · 103 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 4 -1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8135192,-8933706832] |
[a1,a2,a3,a4,a6] |
Generators |
[401890594737922511204093371802:-17775147015393153792198096500609:93068750868138587313507016] |
Generators of the group modulo torsion |
j |
-247120625675830034/721 |
j-invariant |
L |
8.2465658379772 |
L(r)(E,1)/r! |
Ω |
0.044696920534527 |
Real period |
R |
46.124910504779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80752d1 5768c1 |
Quadratic twists by: -4 -7 |