Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450cr |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
deg |
10137600 |
Modular degree for the optimal curve |
Δ |
1.615360223232E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61917980,-186515976353] |
[a1,a2,a3,a4,a6] |
Generators |
[13109:1113445:1] |
Generators of the group modulo torsion |
j |
62228632040416581492843/382900201062400000 |
j-invariant |
L |
9.5834638205963 |
L(r)(E,1)/r! |
Ω |
0.053840157845776 |
Real period |
R |
1.0113547426483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450h1 14490e1 |
Quadratic twists by: -3 5 |