Atkin-Lehner |
3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325a |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-671989921875 = -1 · 39 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 3 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6075,-186469] |
[a1,a2,a3,a4,a6] |
Generators |
[10872606:70724623:97336] |
Generators of the group modulo torsion |
j |
-80621568/2185 |
j-invariant |
L |
11.94827049109 |
L(r)(E,1)/r! |
Ω |
0.26995326694345 |
Real period |
R |
11.065128608068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325d1 19665b1 |
Quadratic twists by: -3 5 |