Atkin-Lehner |
2- 3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37380b |
Isogeny class |
Conductor |
37380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
3139920 = 24 · 32 · 5 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141,-594] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] |
Generators of the group modulo torsion |
j |
19513606144/196245 |
j-invariant |
L |
4.5076575092322 |
L(r)(E,1)/r! |
Ω |
1.3854860141288 |
Real period |
R |
1.0844948904247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112140s1 |
Quadratic twists by: -3 |