Atkin-Lehner |
2+ 3+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590f |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12395172420 = 22 · 39 · 5 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66219,6575345] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:3547:1] |
Generators of the group modulo torsion |
j |
1631488296812067/629740 |
j-invariant |
L |
4.486400645261 |
L(r)(E,1)/r! |
Ω |
1.0266844333638 |
Real period |
R |
2.1848975688105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76590bf2 |
Quadratic twists by: -3 |