Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
102608p |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-4.3604168924519E+19 |
Discriminant |
Eigenvalues |
2- -1 0 2 11- -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-610848,367222528] |
[a1,a2,a3,a4,a6] |
Generators |
[2842:146894:1] |
Generators of the group modulo torsion |
j |
-3473824173625/6009134912 |
j-invariant |
L |
3.6073463744013 |
L(r)(E,1)/r! |
Ω |
0.18135734623065 |
Real period |
R |
4.9727049906721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826g1 9328g1 |
Quadratic twists by: -4 -11 |