Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350dk |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1598259600000000 = 210 · 39 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38855,2243647] |
[a1,a2,a3,a4,a6] |
Generators |
[49:650:1] |
Generators of the group modulo torsion |
j |
21093208947/5196800 |
j-invariant |
L |
11.370117101492 |
L(r)(E,1)/r! |
Ω |
0.44555708280954 |
Real period |
R |
1.2759439296836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350r1 18270e1 |
Quadratic twists by: -3 5 |