Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400t |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-97960800000000 = -1 · 211 · 3 · 58 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6792,422412] |
[a1,a2,a3,a4,a6] |
j |
43307470/122451 |
j-invariant |
L |
0.84236629198792 |
L(r)(E,1)/r! |
Ω |
0.42118315253176 |
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 |
71400dw1 |
Quadratic twists by: 5 |