Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7260f |
Isogeny class |
Conductor |
7260 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-504223534243440 = -1 · 24 · 35 · 5 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92726,-10890735] |
[a1,a2,a3,a4,a6] |
Generators |
[844:22613:1] |
Generators of the group modulo torsion |
j |
-212464384/1215 |
j-invariant |
L |
2.6522690787276 |
L(r)(E,1)/r! |
Ω |
0.13674778807732 |
Real period |
R |
6.4651114679039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29040de1 116160ew1 21780be1 36300bx1 |
Quadratic twists by: -4 8 -3 5 |