Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ca |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-10968629214690 = -1 · 2 · 38 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6624,263290] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:692:1] |
Generators of the group modulo torsion |
j |
-7649089/2610 |
j-invariant |
L |
4.9531981840154 |
L(r)(E,1)/r! |
Ω |
0.67849780901442 |
Real period |
R |
0.60835348956082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000134733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630ca1 127890bg1 |
Quadratic twists by: -3 -7 |