Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4290s |
Isogeny class |
Conductor |
4290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-260161419375000000 = -1 · 26 · 37 · 510 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1007741,-390570541] |
[a1,a2,a3,a4,a6] |
Generators |
[1181:7670:1] |
Generators of the group modulo torsion |
j |
-113180217375258301213009/260161419375000000 |
j-invariant |
L |
4.6081977212016 |
L(r)(E,1)/r! |
Ω |
0.075330788672526 |
Real period |
R |
5.0977360456981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320bs1 12870s1 21450bd1 47190f1 |
Quadratic twists by: -4 -3 5 -11 |