Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400bk |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-201768035000000 = -1 · 26 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 1 -3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18783,1209937] |
[a1,a2,a3,a4,a6] |
Generators |
[26:8575:8] [72:475:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
8.6943469368993 |
L(r)(E,1)/r! |
Ω |
0.53582626274179 |
Real period |
R |
1.0141284990129 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bb1 39200bs1 15680g1 11200r1 |
Quadratic twists by: -4 8 5 -7 |