Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146f |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3.6729066620492E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -3 -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5954009,7332017834] |
[a1,a2,a3,a4,a6] |
j |
23342763896887401720596375/36729066620491774820352 |
j-invariant |
L |
1.1030027212477 |
L(r)(E,1)/r! |
Ω |
0.078785908660548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81168bm1 30438p1 |
Quadratic twists by: -4 -3 |