Atkin-Lehner |
2+ 3- 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30498g |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
37329552 = 24 · 33 · 13 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-146,596] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:31:1] |
Generators of the group modulo torsion |
j |
340799721625/37329552 |
j-invariant |
L |
4.9139915213388 |
L(r)(E,1)/r! |
Ω |
1.9898467104683 |
Real period |
R |
0.82317756697656 |
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 |
91494w1 |
Quadratic twists by: -3 |