Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496a |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-258875034014171904 = -1 · 28 · 3 · 715 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,138556,-14370348] |
[a1,a2,a3,a4,a6] |
j |
9767161833392/8595318291 |
j-invariant |
L |
0.68379196862137 |
L(r)(E,1)/r! |
Ω |
0.17094799634464 |
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 |
11928c1 |
Quadratic twists by: -7 |