Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
98a |
Isogeny class |
Conductor |
98 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
-3294172 = -1 · 22 · 77 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-111] |
[a1,a2,a3,a4,a6] |
j |
-15625/28 |
j-invariant |
L |
1.0019771957699 |
L(r)(E,1)/r! |
Ω |
1.0019771957699 |
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 |
784j1 3136k1 882i1 2450y1 |
Quadratic twists by: -4 8 -3 5 |