Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
33300y |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1964365368300000000 = -1 · 28 · 315 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-966000,-371607500] |
[a1,a2,a3,a4,a6] |
Generators |
[111184097391:-593180822107:96702579] |
Generators of the group modulo torsion |
j |
-1367500718080/26946027 |
j-invariant |
L |
5.4461246737049 |
L(r)(E,1)/r! |
Ω |
0.076053308011083 |
Real period |
R |
17.902326723616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100o1 33300g1 |
Quadratic twists by: -3 5 |