Atkin-Lehner |
2- 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650ch |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8170645882324218750 = 2 · 312 · 512 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1762188,889082031] |
[a1,a2,a3,a4,a6] |
Generators |
[123921818:-2603659841:238328] |
Generators of the group modulo torsion |
j |
38731152479900830201/522921336468750 |
j-invariant |
L |
10.838379414187 |
L(r)(E,1)/r! |
Ω |
0.23381909572571 |
Real period |
R |
11.588424224426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999928054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530q2 |
Quadratic twists by: 5 |