Atkin-Lehner |
2- 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030x |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-45930249834560 = -1 · 26 · 5 · 73 · 132 · 195 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39761,3065705] |
[a1,a2,a3,a4,a6] |
Generators |
[4728:-35215:27] [-220:1195:1] |
Generators of the group modulo torsion |
j |
-20267592799784023/133907433920 |
j-invariant |
L |
18.399732969961 |
L(r)(E,1)/r! |
Ω |
0.64181120488598 |
Real period |
R |
0.23890375692783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030bk1 |
Quadratic twists by: -7 |