Atkin-Lehner |
7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30821j |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9471168 |
Modular degree for the optimal curve |
Δ |
-1.8820934909428E+22 |
Discriminant |
Eigenvalues |
-2 3 -4 7- 4 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7141897,-9875983994] |
[a1,a2,a3,a4,a6] |
Generators |
[3006864:128016325:729] |
Generators of the group modulo torsion |
j |
-342433480186122153984/159975307137569147 |
j-invariant |
L |
4.2063706228182 |
L(r)(E,1)/r! |
Ω |
0.045162864874235 |
Real period |
R |
7.7614847111889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403b1 |
Quadratic twists by: -7 |