Atkin-Lehner |
2- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294w |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
2381753533676883968 = 212 · 76 · 175 · 592 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1511112,-711238592] |
[a1,a2,a3,a4,a6] |
Generators |
[-744:1528:1] |
Generators of the group modulo torsion |
j |
3243586268529106417/20244571000832 |
j-invariant |
L |
9.0135926391061 |
L(r)(E,1)/r! |
Ω |
0.13621930894262 |
Real period |
R |
1.1028285557716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2006h1 |
Quadratic twists by: -7 |