Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275cv |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
85155840 |
Modular degree for the optimal curve |
Δ |
1.0370178961611E+27 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- -3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-942486825,11028516076156] |
[a1,a2,a3,a4,a6] |
Generators |
[-28355:3867187:1] |
Generators of the group modulo torsion |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
2.439122972053 |
L(r)(E,1)/r! |
Ω |
0.049432524420856 |
Real period |
R |
2.0559362982722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000252236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425f1 24255ba1 121275eu1 |
Quadratic twists by: -3 5 -7 |