Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cd |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.421875E+26 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343918700,-2019150866000] |
[a1,a2,a3,a4,a6] |
Generators |
[42445174175033269536330732:26673680481073788107053988992:107238425583068112087] |
Generators of the group modulo torsion |
j |
1098325674097093229481/205612182617187500 |
j-invariant |
L |
5.9654445965662 |
L(r)(E,1)/r! |
Ω |
0.035511847388638 |
Real period |
R |
41.996157339351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200ea3 3850s4 24640e3 |
Quadratic twists by: -4 8 5 |