Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
66600h |
Isogeny class |
Conductor |
66600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
582616800000000 = 211 · 39 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 5 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43875,-3341250] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:432:1] |
Generators of the group modulo torsion |
j |
593190/37 |
j-invariant |
L |
6.4071934349087 |
L(r)(E,1)/r! |
Ω |
0.33116076901961 |
Real period |
R |
3.2246137600276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66600bg1 66600bb1 |
Quadratic twists by: -3 5 |