Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cg |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-133920000 = -1 · 28 · 33 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,412] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] |
Generators of the group modulo torsion |
j |
532400/837 |
j-invariant |
L |
5.327531396482 |
L(r)(E,1)/r! |
Ω |
1.2577833694166 |
Real period |
R |
1.4118836693245 |
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 |
9300m1 111600gc1 37200cy1 |
Quadratic twists by: -4 -3 5 |