Atkin-Lehner |
2+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24206c |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-31661156753408 = -1 · 213 · 77 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -1 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23790,-1448012] |
[a1,a2,a3,a4,a6] |
Generators |
[181:375:1] |
Generators of the group modulo torsion |
j |
-12657482097625/269115392 |
j-invariant |
L |
2.6059164723145 |
L(r)(E,1)/r! |
Ω |
0.19196491405486 |
Real period |
R |
1.6968702882143 |
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 |
3458b1 |
Quadratic twists by: -7 |