Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700o |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
36713250000 = 24 · 34 · 56 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25033,-1532812] |
[a1,a2,a3,a4,a6] |
Generators |
[2708:140700:1] |
Generators of the group modulo torsion |
j |
6939684880384/146853 |
j-invariant |
L |
6.8788481651688 |
L(r)(E,1)/r! |
Ω |
0.37955125828161 |
Real period |
R |
4.5309085492792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108d1 |
Quadratic twists by: 5 |