Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400bb |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1340595000000000 = -1 · 29 · 32 · 510 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -3 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24792,-911412] |
[a1,a2,a3,a4,a6] |
j |
337031800/268119 |
j-invariant |
L |
0.53552629458248 |
L(r)(E,1)/r! |
Ω |
0.26776315677013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400o1 74400cd1 |
Quadratic twists by: -4 5 |