Atkin-Lehner |
2+ 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590l |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6369741382500 = -1 · 22 · 37 · 54 · 23 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1312540560,18303114599316] |
[a1,a2,a3,a4,a6] |
Generators |
[19353:377211:1] |
Generators of the group modulo torsion |
j |
-343031800169700398553531644161/8737642500 |
j-invariant |
L |
4.746254602639 |
L(r)(E,1)/r! |
Ω |
0.18010632640359 |
Real period |
R |
4.9410964954367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997708 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
25530bm2 |
Quadratic twists by: -3 |