Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275by |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-2696904954079875 = -1 · 39 · 53 · 77 · 113 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 11+ -4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19845,-2720419] |
[a1,a2,a3,a4,a6] |
Generators |
[9282:313547:8] |
Generators of the group modulo torsion |
j |
-2985984/9317 |
j-invariant |
L |
13.198063835236 |
L(r)(E,1)/r! |
Ω |
0.1855936159997 |
Real period |
R |
4.4445439501644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275cj1 121275cb1 17325e1 |
Quadratic twists by: -3 5 -7 |