Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384p |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-14834492749836288 = -1 · 212 · 310 · 233 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87960,11655216] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1458:1] |
Generators of the group modulo torsion |
j |
-18374873741826841/3621702331503 |
j-invariant |
L |
3.1169846842394 |
L(r)(E,1)/r! |
Ω |
0.37819538540595 |
Real period |
R |
2.0604327863778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899c1 |
Quadratic twists by: -4 |