Atkin-Lehner |
2- 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12810s |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
403498611480384000 = 29 · 316 · 53 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20828031,-36588186855] |
[a1,a2,a3,a4,a6] |
Generators |
[-2634:1389:1] |
Generators of the group modulo torsion |
j |
999236661311061196864365169/403498611480384000 |
j-invariant |
L |
7.5867304904799 |
L(r)(E,1)/r! |
Ω |
0.070670393780615 |
Real period |
R |
1.4910240508823 |
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 |
102480bd4 38430r4 64050g4 89670bt4 |
Quadratic twists by: -4 -3 5 -7 |