Atkin-Lehner |
2- 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040bq |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2319969600000000 = -1 · 212 · 38 · 58 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1984,2316480] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:1458:1] [-6:1518:1] |
Generators of the group modulo torsion |
j |
210751100351/566398828125 |
j-invariant |
L |
7.1265850226941 |
L(r)(E,1)/r! |
Ω |
0.36142747227412 |
Real period |
R |
9.8589420691436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3315e4 |
Quadratic twists by: -4 |