Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397r |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-2282027172548712147 = -1 · 39 · 1310 · 292 |
Discriminant |
Eigenvalues |
2 3- 0 -3 -4 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,140505,69796395] |
[a1,a2,a3,a4,a6] |
j |
500351868416000/3722179279923 |
j-invariant |
L |
0.75552090408934 |
L(r)(E,1)/r! |
Ω |
0.1888803284599 |
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 |
32799g1 98397t1 |
Quadratic twists by: -3 29 |