Atkin-Lehner |
3+ 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475b |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-56589098929734375 = -1 · 310 · 56 · 233 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-137438,-22764094] |
[a1,a2,a3,a4,a6] |
Generators |
[299149845:3847732184:571787] |
Generators of the group modulo torsion |
j |
-18374873741826841/3621702331503 |
j-invariant |
L |
2.7220463082549 |
L(r)(E,1)/r! |
Ω |
0.12267300317933 |
Real period |
R |
11.094724306271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899c1 |
Quadratic twists by: 5 |