Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bm |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-74826892800 = -1 · 29 · 312 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,13030] |
[a1,a2,a3,a4,a6] |
Generators |
[41:306:1] |
Generators of the group modulo torsion |
j |
274360/8019 |
j-invariant |
L |
7.611573353652 |
L(r)(E,1)/r! |
Ω |
0.8204125677132 |
Real period |
R |
2.3194346516894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200z1 26400bu1 79200eo1 |
Quadratic twists by: -4 -3 5 |