Atkin-Lehner |
2- 3+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bm |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-43786503288 = -1 · 23 · 33 · 113 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 11- -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125,-10051] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2254:1] |
Generators of the group modulo torsion |
j |
-7940149875/1621722344 |
j-invariant |
L |
12.931469888969 |
L(r)(E,1)/r! |
Ω |
0.50831222376523 |
Real period |
R |
4.2400022664394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003115 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104346d2 |
Quadratic twists by: -3 |