Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723s |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-122676939 = -1 · 32 · 72 · 114 · 19 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 11- -4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,124,20] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-17:1] [20:100:1] |
Generators of the group modulo torsion |
j |
4268601344/2503611 |
j-invariant |
L |
3.7138225740373 |
L(r)(E,1)/r! |
Ω |
1.1279000030541 |
Real period |
R |
0.41158597437518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169w1 30723u1 |
Quadratic twists by: -3 -7 |