Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112bj |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-106378248388608 = -1 · 216 · 33 · 77 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10753,-652511] |
[a1,a2,a3,a4,a6] |
Generators |
[141:784:1] |
Generators of the group modulo torsion |
j |
-2098326698500/1623203253 |
j-invariant |
L |
5.2039474666634 |
L(r)(E,1)/r! |
Ω |
0.22684187780108 |
Real period |
R |
0.81931638148109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112o1 24528f1 |
Quadratic twists by: -4 8 |