Atkin-Lehner |
2- 3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504q |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-113145648 = -1 · 24 · 3 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,121,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:11:1] [16:76:1] |
Generators of the group modulo torsion |
j |
12144109568/7071603 |
j-invariant |
L |
7.1715854260102 |
L(r)(E,1)/r! |
Ω |
1.1299582760291 |
Real period |
R |
6.3467701225319 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008q1 127512s1 |
Quadratic twists by: -4 -3 |