Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560ef |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-3.6163629356392E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-655032,354047344] |
[a1,a2,a3,a4,a6] |
Generators |
[14196:-336140:27] |
Generators of the group modulo torsion |
j |
-88478050816/102942875 |
j-invariant |
L |
7.2957088724645 |
L(r)(E,1)/r! |
Ω |
0.18658758208578 |
Real period |
R |
1.6291966822434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560eg1 7840d1 10080bs1 |
Quadratic twists by: -4 -3 -7 |