Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
95370df |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
253 |
Product of Tamagawa factors cp |
deg |
10419552 |
Modular degree for the optimal curve |
Δ |
-8.8568070990754E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27479571,55461278241] |
[a1,a2,a3,a4,a6] |
Generators |
[3018:-5883:1] |
Generators of the group modulo torsion |
j |
-27476276164729743854449/10604287663073280 |
j-invariant |
L |
12.78822441626 |
L(r)(E,1)/r! |
Ω |
0.15497968538534 |
Real period |
R |
0.32614817515737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370cl1 |
Quadratic twists by: 17 |