Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ca |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-1095773374080000 = -1 · 210 · 33 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -6 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39038,-3359219] |
[a1,a2,a3,a4,a6] |
Generators |
[625:14387:1] |
Generators of the group modulo torsion |
j |
-42269574627/7040000 |
j-invariant |
L |
8.0792505926062 |
L(r)(E,1)/r! |
Ω |
0.16828870957702 |
Real period |
R |
0.40006895555234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48510g1 48510ck1 |
Quadratic twists by: -3 -7 |