Atkin-Lehner |
2- 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326x |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13483008 |
Modular degree for the optimal curve |
Δ |
-5.1835478651834E+24 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 11- -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43937946,156715500327] |
[a1,a2,a3,a4,a6] |
Generators |
[15385:1759403:1] |
Generators of the group modulo torsion |
j |
-361673020751307529/199848209485824 |
j-invariant |
L |
5.9924995445192 |
L(r)(E,1)/r! |
Ω |
0.071109008174599 |
Real period |
R |
1.7556670206742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326f1 |
Quadratic twists by: -11 |