Atkin-Lehner |
2+ 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450bn |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
209819531250 = 2 · 33 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1576,9548] |
[a1,a2,a3,a4,a6] |
j |
1107225625/537138 |
j-invariant |
L |
2.6687024053737 |
L(r)(E,1)/r! |
Ω |
0.88956746845761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91350ft1 30450bt1 |
Quadratic twists by: -3 5 |