Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200bt |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
697500000000 = 28 · 32 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3508,-67988] |
[a1,a2,a3,a4,a6] |
Generators |
[297:5000:1] |
Generators of the group modulo torsion |
j |
1193895376/174375 |
j-invariant |
L |
5.2486396686067 |
L(r)(E,1)/r! |
Ω |
0.62638427799598 |
Real period |
R |
4.189632349489 |
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 |
9300i2 111600eo2 7440ba2 |
Quadratic twists by: -4 -3 5 |