Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150c |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.8293286627918E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4822287792,-73716409840384] |
[a1,a2,a3,a4,a6] |
Generators |
[-111861424370180704:20606615278673395952:2766995941319] |
Generators of the group modulo torsion |
j |
40324757989623572705294907/15702740152348449751040 |
j-invariant |
L |
3.6238671858559 |
L(r)(E,1)/r! |
Ω |
0.018727969619372 |
Real period |
R |
24.187533243936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000231179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cb1 25830x3 |
Quadratic twists by: -3 5 |