Atkin-Lehner |
3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425d |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-40307400984375 = -1 · 310 · 56 · 7 · 792 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3267,-312984] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2208:1] [5140:365886:1] |
Generators of the group modulo torsion |
j |
-338608873/3538647 |
j-invariant |
L |
13.313362901907 |
L(r)(E,1)/r! |
Ω |
0.27407677914138 |
Real period |
R |
24.287652066722 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41475l1 4977c1 |
Quadratic twists by: -3 5 |