Atkin-Lehner |
2+ 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294f |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-15104249216 = -1 · 27 · 76 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1528,-23360] |
[a1,a2,a3,a4,a6] |
Generators |
[51:146:1] |
Generators of the group modulo torsion |
j |
-3354790473/128384 |
j-invariant |
L |
1.7912272041116 |
L(r)(E,1)/r! |
Ω |
0.38093555861112 |
Real period |
R |
2.35108952766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006f1 |
Quadratic twists by: -7 |