Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850a |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5264099121093750 = 2 · 32 · 515 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3645833275,-84732711898625] |
[a1,a2,a3,a4,a6] |
Generators |
[5036355481850996155560018679279551667274882963290612859025735:-1374902672737927417505354293305533642811361698540782188372469030:44526699340681839330359946043509058552679728845729081273] |
Generators of the group modulo torsion |
j |
342999983683000258740998632369/336902343750 |
j-invariant |
L |
3.7194525862763 |
L(r)(E,1)/r! |
Ω |
0.019428995763259 |
Real period |
R |
95.719115686615 |
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 |
116550dw6 7770z6 |
Quadratic twists by: -3 5 |