Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050w |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-80303906250000 = -1 · 24 · 37 · 511 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3063,434781] |
[a1,a2,a3,a4,a6] |
Generators |
[45:602:1] |
Generators of the group modulo torsion |
j |
-203401212841/5139450000 |
j-invariant |
L |
5.4276988129471 |
L(r)(E,1)/r! |
Ω |
0.51040508724684 |
Real period |
R |
0.66463125914169 |
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 |
56400cu1 21150t1 1410f1 |
Quadratic twists by: -4 -3 5 |