Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bt |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-22129873920 = -1 · 210 · 36 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-7155] |
[a1,a2,a3,a4,a6] |
Generators |
[34:159:1] |
Generators of the group modulo torsion |
j |
-2401/619520 |
j-invariant |
L |
4.6813862092259 |
L(r)(E,1)/r! |
Ω |
0.55182891316532 |
Real period |
R |
2.1208503657176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390w1 48510m1 |
Quadratic twists by: -3 -7 |