Atkin-Lehner |
3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325f |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-183537247412109375 = -1 · 39 · 511 · 192 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54380,21195622] |
[a1,a2,a3,a4,a6] |
Generators |
[874:-25750:1] [134:3970:1] |
Generators of the group modulo torsion |
j |
-57825915363/596778125 |
j-invariant |
L |
7.6520122008756 |
L(r)(E,1)/r! |
Ω |
0.27259869532912 |
Real period |
R |
3.5088264960205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325i1 19665d1 |
Quadratic twists by: -3 5 |