Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800dc |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1825000000 = -1 · 26 · 58 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 4 5 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,838] |
[a1,a2,a3,a4,a6] |
j |
109760/73 |
j-invariant |
L |
2.7964067909199 |
L(r)(E,1)/r! |
Ω |
0.93213600368309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800da1 58400g1 116800bz1 |
Quadratic twists by: -4 8 5 |