Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30723u |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
83328 |
Modular degree for the optimal curve |
Δ |
-14432819196411 = -1 · 32 · 78 · 114 · 19 |
Discriminant |
Eigenvalues |
-2 3- 1 7+ 11- 4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6060,-19078] |
[a1,a2,a3,a4,a6] |
Generators |
[65:808:1] |
Generators of the group modulo torsion |
j |
4268601344/2503611 |
j-invariant |
L |
3.9076488554443 |
L(r)(E,1)/r! |
Ω |
0.41348327462701 |
Real period |
R |
0.39377336956871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169f1 30723s1 |
Quadratic twists by: -3 -7 |