Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200m |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
1401138000 = 24 · 36 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1163,-14778] |
[a1,a2,a3,a4,a6] |
Generators |
[346:945:8] |
Generators of the group modulo torsion |
j |
87057508352/700569 |
j-invariant |
L |
5.0218533390941 |
L(r)(E,1)/r! |
Ω |
0.81787000179214 |
Real period |
R |
3.0700804089215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18600m1 111600cc1 37200bc1 |
Quadratic twists by: -4 -3 5 |