Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ca |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-14210301952000000 = -1 · 230 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5900,-5738000] |
[a1,a2,a3,a4,a6] |
Generators |
[387034370:-7838662656:857375] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
7.1962214018525 |
L(r)(E,1)/r! |
Ω |
0.17809821666378 |
Real period |
R |
10.101478568031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200dx1 3850f1 4928h1 |
Quadratic twists by: -4 8 5 |