Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680bz |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
81183657738839040 = 210 · 36 · 5 · 711 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15094760,-22567868868] |
[a1,a2,a3,a4,a6] |
Generators |
[71603966835014:4872979676710768:9980035577] |
Generators of the group modulo torsion |
j |
3157287870431675236/673876665 |
j-invariant |
L |
5.8461030366658 |
L(r)(E,1)/r! |
Ω |
0.076593692122601 |
Real period |
R |
19.081542077369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360cl1 9240bc1 |
Quadratic twists by: -4 -7 |