Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
91140c |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-5.701704719073E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-322681,1151114350] |
[a1,a2,a3,a4,a6] |
Generators |
[-156956214:2656514420:148877] |
Generators of the group modulo torsion |
j |
-1973953954103296/302898065382675 |
j-invariant |
L |
4.7339705484755 |
L(r)(E,1)/r! |
Ω |
0.13389409996618 |
Real period |
R |
8.8390200668293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13020b1 |
Quadratic twists by: -7 |