Atkin-Lehner |
2+ 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93002g |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-5.628807001085E+20 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 4 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745626,2090974808] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:-46488:1] [-598:59618:1] |
Generators of the group modulo torsion |
j |
-19456275058620010857/4784407008206644 |
j-invariant |
L |
6.8316701853439 |
L(r)(E,1)/r! |
Ω |
0.15608347180461 |
Real period |
R |
0.52106354394862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286d1 |
Quadratic twists by: -7 |