Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bw |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-695755777500000000 = -1 · 28 · 37 · 510 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-102963,42055281] |
[a1,a2,a3,a4,a6] |
Generators |
[45:6102:1] |
Generators of the group modulo torsion |
j |
-7725872090193769/44528369760000 |
j-invariant |
L |
8.4075479810395 |
L(r)(E,1)/r! |
Ω |
0.24732402684599 |
Real period |
R |
2.124628793695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130m1 |
Quadratic twists by: 5 |