Atkin-Lehner |
2- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
124468c |
Isogeny class |
Conductor |
124468 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-6045460650757376 = -1 · 28 · 297 · 372 |
Discriminant |
Eigenvalues |
2- -3 1 -2 -5 7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207727,36632278] |
[a1,a2,a3,a4,a6] |
Generators |
[319:-1682:1] [59:4958:1] |
Generators of the group modulo torsion |
j |
-6509904336/39701 |
j-invariant |
L |
7.2431040541836 |
L(r)(E,1)/r! |
Ω |
0.42736868863977 |
Real period |
R |
0.70617246942807 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4292c1 |
Quadratic twists by: 29 |