Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12200b |
Isogeny class |
Conductor |
12200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1220000000 = 28 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2508,47488] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:200:1] [3:200:1] |
Generators of the group modulo torsion |
j |
436334416/305 |
j-invariant |
L |
4.3975003898577 |
L(r)(E,1)/r! |
Ω |
1.5217946858138 |
Real period |
R |
1.4448402372709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24400f1 97600h1 109800by1 2440d1 |
Quadratic twists by: -4 8 -3 5 |