Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112h |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-99189044373875456 = -1 · 28 · 76 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11+ 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141185,25380011] |
[a1,a2,a3,a4,a6] |
Generators |
[4170:72863:27] |
Generators of the group modulo torsion |
j |
-10333900063744/3293331899 |
j-invariant |
L |
7.7760849943461 |
L(r)(E,1)/r! |
Ω |
0.31825807001328 |
Real period |
R |
6.1083172111242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56056v1 2288a1 |
Quadratic twists by: -4 -7 |