Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072c |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-38436864 = -1 · 215 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,897] |
[a1,a2,a3,a4,a6] |
Generators |
[7:8:1] |
Generators of the group modulo torsion |
j |
-14172488/1173 |
j-invariant |
L |
5.7668581610638 |
L(r)(E,1)/r! |
Ω |
2.006960974732 |
Real period |
R |
1.4367140749607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072bj1 37536v1 |
Quadratic twists by: -4 8 |