Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3450f |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
517500 = 22 · 32 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -3 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] [-4:11:1] |
Generators of the group modulo torsion |
j |
2941225/828 |
j-invariant |
L |
2.6346403239365 |
L(r)(E,1)/r! |
Ω |
2.7322322006314 |
Real period |
R |
0.080356772121145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600dj1 110400fb1 10350bw1 3450z1 |
Quadratic twists by: -4 8 -3 5 |