Atkin-Lehner |
2+ 3+ 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378c |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1052488116288 = 26 · 39 · 72 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9087,-327475] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:73:1] |
Generators of the group modulo torsion |
j |
4216196923875/53471936 |
j-invariant |
L |
5.1778116299552 |
L(r)(E,1)/r! |
Ω |
0.48935648099379 |
Real period |
R |
2.6452145722882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126378y1 |
Quadratic twists by: -3 |