Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040k |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-289013760 = -1 · 217 · 32 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,225] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-48:1] [0:15:1] |
Generators of the group modulo torsion |
j |
68782/45 |
j-invariant |
L |
7.6632833759927 |
L(r)(E,1)/r! |
Ω |
1.0835610757897 |
Real period |
R |
0.88403915884574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040gd1 5880o1 47040cy1 |
Quadratic twists by: -4 8 -7 |