Atkin-Lehner |
3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30129i |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-8.6697958371493E+22 |
Discriminant |
Eigenvalues |
-1 3+ 4 -1 11- -7 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1880161,-14201993464] |
[a1,a2,a3,a4,a6] |
Generators |
[34558340:2197424868:6859] |
Generators of the group modulo torsion |
j |
-414908885277195049/48938737289595417 |
j-invariant |
L |
3.5118888861827 |
L(r)(E,1)/r! |
Ω |
0.047746118111762 |
Real period |
R |
3.0647246179977 |
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 |
90387l1 2739e1 |
Quadratic twists by: -3 -11 |