Atkin-Lehner |
2+ 3+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582a |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
704256 |
Modular degree for the optimal curve |
Δ |
-27127276476278004 = -1 · 22 · 39 · 137 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 6 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,75072,320228] |
[a1,a2,a3,a4,a6] |
Generators |
[26:1500:1] |
Generators of the group modulo torsion |
j |
2377185780851181/1378208427388 |
j-invariant |
L |
7.0300303559577 |
L(r)(E,1)/r! |
Ω |
0.2252565981161 |
Real period |
R |
3.9011234378949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75582s1 |
Quadratic twists by: -3 |