Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472f |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-53005393723392 = -1 · 217 · 34 · 115 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 11- -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6303,-294687] |
[a1,a2,a3,a4,a6] |
Generators |
[41:176:1] [51:396:1] |
Generators of the group modulo torsion |
j |
211245177166/404399061 |
j-invariant |
L |
9.7641571947708 |
L(r)(E,1)/r! |
Ω |
0.32961587820598 |
Real period |
R |
0.74057090695553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65472cl1 8184f1 |
Quadratic twists by: -4 8 |