Atkin-Lehner |
2+ 3- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814w |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1464320 |
Modular degree for the optimal curve |
Δ |
-1426655539106616546 = -1 · 2 · 319 · 75 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162261,-62691809] |
[a1,a2,a3,a4,a6] |
Generators |
[1139:34490:1] |
Generators of the group modulo torsion |
j |
-648097183130853457/1957003482999474 |
j-invariant |
L |
4.0546550205563 |
L(r)(E,1)/r! |
Ω |
0.10991051461598 |
Real period |
R |
1.8445255364534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938k1 |
Quadratic twists by: -3 |