Atkin-Lehner |
2- 3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
104940bo |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
1764 |
Product of Tamagawa factors cp |
deg |
19192320 |
Modular degree for the optimal curve |
Δ |
6.4242172592754E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11- -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25941657,33155316281] |
[a1,a2,a3,a4,a6] |
Generators |
[-5563:72875:1] [-4463:245025:1] |
Generators of the group modulo torsion |
j |
165527188878663629941504/55077308464295390625 |
j-invariant |
L |
11.031092019493 |
L(r)(E,1)/r! |
Ω |
0.083959021035232 |
Real period |
R |
0.07448221106935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34980b1 |
Quadratic twists by: -3 |