Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360bf |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14155776 |
Modular degree for the optimal curve |
Δ |
-6.8274046999512E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2497791,-12662123634] |
[a1,a2,a3,a4,a6] |
Generators |
[470845114772363063092208:-1217673351926683025065234375:70399976378134528] |
Generators of the group modulo torsion |
j |
-915553975060166656/36269989013671875 |
j-invariant |
L |
3.1851613386921 |
L(r)(E,1)/r! |
Ω |
0.047977402078928 |
Real period |
R |
33.194391068753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000013987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cr1 18480bc1 |
Quadratic twists by: -4 -7 |