Atkin-Lehner |
2+ 3- 13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30498k |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-7514768196 = -1 · 22 · 37 · 133 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-553,6464] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-46:1] |
Generators of the group modulo torsion |
j |
-18653901818761/7514768196 |
j-invariant |
L |
5.7723993104976 |
L(r)(E,1)/r! |
Ω |
1.2386551589095 |
Real period |
R |
0.11095749921421 |
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 |
91494x1 |
Quadratic twists by: -3 |