Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
33300z |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-3692603700000000 = -1 · 28 · 36 · 58 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38625,103750] |
[a1,a2,a3,a4,a6] |
Generators |
[1475:57150:1] |
Generators of the group modulo torsion |
j |
87418160/50653 |
j-invariant |
L |
5.0883228900534 |
L(r)(E,1)/r! |
Ω |
0.26572402467572 |
Real period |
R |
3.1914834047987 |
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 |
3700f2 33300j2 |
Quadratic twists by: -3 5 |