Atkin-Lehner |
5+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98735n |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-77045388875 = -1 · 53 · 76 · 132 · 31 |
Discriminant |
Eigenvalues |
-2 3 5+ 7- -6 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6223,-189422] |
[a1,a2,a3,a4,a6] |
j |
-226534772736/654875 |
j-invariant |
L |
1.0748661989261 |
L(r)(E,1)/r! |
Ω |
0.26871655168659 |
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 |
2015c1 |
Quadratic twists by: -7 |