Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690bq |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-9090673016832000 = -1 · 220 · 38 · 53 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92912,11849811] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-1311:1] |
Generators of the group modulo torsion |
j |
-121676645386920889/12470059008000 |
j-invariant |
L |
9.2807626430052 |
L(r)(E,1)/r! |
Ω |
0.40057467228663 |
Real period |
R |
0.38614367828214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230a1 |
Quadratic twists by: -3 |