Atkin-Lehner |
2- 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450ci |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
121800000000 = 29 · 3 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1638,18531] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:207:1] |
Generators of the group modulo torsion |
j |
1244290945/311808 |
j-invariant |
L |
6.4756240807459 |
L(r)(E,1)/r! |
Ω |
0.98103173404865 |
Real period |
R |
0.24447519951951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350cm1 30450bd1 |
Quadratic twists by: -3 5 |