Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450h |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.4617415548801E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-895949817,-1807379792659] |
[a1,a2,a3,a4,a6] |
Generators |
[-731409:-43035307:27] |
Generators of the group modulo torsion |
j |
258620799050621485981803/145075171220000000000 |
j-invariant |
L |
5.4296132249173 |
L(r)(E,1)/r! |
Ω |
0.02966868268892 |
Real period |
R |
7.6253430862967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cr2 14490bg2 |
Quadratic twists by: -3 5 |