Atkin-Lehner |
3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
30603d |
Isogeny class |
Conductor |
30603 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10400 |
Modular degree for the optimal curve |
Δ |
9272709 = 32 · 1013 |
Discriminant |
Eigenvalues |
-2 3+ 1 -2 0 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-370,-2616] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1:1] [34:-152:1] |
Generators of the group modulo torsion |
j |
5451776/9 |
j-invariant |
L |
3.9086740163697 |
L(r)(E,1)/r! |
Ω |
1.0884147425128 |
Real period |
R |
0.89779058103936 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91809h1 30603f1 |
Quadratic twists by: -3 101 |