Atkin-Lehner |
2+ 3- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210j |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-7156024287325350000 = -1 · 24 · 3 · 55 · 198 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,374871,93628252] |
[a1,a2,a3,a4,a6] |
Generators |
[16833:636050:27] |
Generators of the group modulo torsion |
j |
5826005786819523075191/7156024287325350000 |
j-invariant |
L |
5.0218383660548 |
L(r)(E,1)/r! |
Ω |
0.15789183168269 |
Real period |
R |
3.9756951899726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630cj1 |
Quadratic twists by: -3 |