Atkin-Lehner |
5+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98735k |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-1378501283498828125 = -1 · 58 · 710 · 13 · 312 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -3 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-650721,-210060796] |
[a1,a2,a3,a4,a6] |
j |
-107876741826721/4880078125 |
j-invariant |
L |
1.3412026073056 |
L(r)(E,1)/r! |
Ω |
0.08382516893829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98735p1 |
Quadratic twists by: -7 |