Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37180f |
Isogeny class |
Conductor |
37180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
955449078892880 = 24 · 5 · 114 · 138 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40785,-2786278] |
[a1,a2,a3,a4,a6] |
Generators |
[-278551:1263153:2197] |
Generators of the group modulo torsion |
j |
97152876544/12371645 |
j-invariant |
L |
9.8551377931457 |
L(r)(E,1)/r! |
Ω |
0.33876397203193 |
Real period |
R |
9.6971525966722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2860b1 |
Quadratic twists by: 13 |