Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22575n |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2103363896484375 = -1 · 32 · 510 · 7 · 434 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5099,-2201677] |
[a1,a2,a3,a4,a6] |
Generators |
[3320846405:-2954847659:28372625] |
Generators of the group modulo torsion |
j |
938601300671/134615289375 |
j-invariant |
L |
7.1367895299207 |
L(r)(E,1)/r! |
Ω |
0.21942957646435 |
Real period |
R |
16.262141241201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67725w1 4515a1 |
Quadratic twists by: -3 5 |