Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446bt |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-255547492769124864 = -1 · 29 · 39 · 72 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2285564,1329228893] |
[a1,a2,a3,a4,a6] |
Generators |
[24591:42563:27] |
Generators of the group modulo torsion |
j |
-26946837567756281983633/5215254954471936 |
j-invariant |
L |
10.504639972486 |
L(r)(E,1)/r! |
Ω |
0.30207703000618 |
Real period |
R |
1.9319281229846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446cp1 |
Quadratic twists by: -7 |