Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cj |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-539000000 = -1 · 26 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
3.428182839463 |
L(r)(E,1)/r! |
Ω |
1.0118597117195 |
Real period |
R |
1.6940010741528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998902438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200eh1 1925d1 4928j1 |
Quadratic twists by: -4 8 5 |