Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072z |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
1.788935490341E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -2 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7552917,7966071117] |
[a1,a2,a3,a4,a6] |
Generators |
[-1612:126293:1] |
Generators of the group modulo torsion |
j |
2908358687307694538752/10918795717413117 |
j-invariant |
L |
7.8647054680791 |
L(r)(E,1)/r! |
Ω |
0.18106938710441 |
Real period |
R |
2.0683219295973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072db1 4692f1 |
Quadratic twists by: -4 8 |