Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30303k |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
751312546959429 = 39 · 73 · 133 · 373 |
Discriminant |
Eigenvalues |
0 3- -3 7- 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29784,1474812] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:1228:1] |
Generators of the group modulo torsion |
j |
4008161881096192/1030607060301 |
j-invariant |
L |
3.9277013255706 |
L(r)(E,1)/r! |
Ω |
0.47341031277827 |
Real period |
R |
0.69138427060595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10101f2 |
Quadratic twists by: -3 |