Atkin-Lehner |
2+ 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bx |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-17320944614400 = -1 · 210 · 34 · 52 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3257,-186742] |
[a1,a2,a3,a4,a6] |
j |
32492296871/147225600 |
j-invariant |
L |
2.7958997574901 |
L(r)(E,1)/r! |
Ω |
0.3494874542799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130a1 |
Quadratic twists by: -7 |