Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bs |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-18793721856 = -1 · 212 · 3 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,376,-6096] |
[a1,a2,a3,a4,a6] |
Generators |
[28:160:1] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
2.9372847426365 |
L(r)(E,1)/r! |
Ω |
0.62491727564579 |
Real period |
R |
2.3501388560597 |
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 |
1911f1 122304ig1 91728ef1 624h1 |
Quadratic twists by: -4 8 -3 -7 |