Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690z |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-8030114833500 = -1 · 22 · 33 · 53 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4888,34599] |
[a1,a2,a3,a4,a6] |
Generators |
[377:7251:1] |
Generators of the group modulo torsion |
j |
804357/500 |
j-invariant |
L |
11.115054063285 |
L(r)(E,1)/r! |
Ω |
0.45679853064384 |
Real period |
R |
4.055418058166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690a3 90a1 |
Quadratic twists by: -3 29 |