Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352co |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-77551854336 = -1 · 28 · 32 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,323,13319] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:114:1] |
Generators of the group modulo torsion |
j |
8192/171 |
j-invariant |
L |
7.7458243490316 |
L(r)(E,1)/r! |
Ω |
0.81260449372379 |
Real period |
R |
2.3830241094099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999344124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27588b1 912i1 |
Quadratic twists by: -4 -11 |