Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112ci |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-231475249152 = -1 · 224 · 33 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7201,-238753] |
[a1,a2,a3,a4,a6] |
Generators |
[1063:34560:1] |
Generators of the group modulo torsion |
j |
-157551496201/883008 |
j-invariant |
L |
12.10790387884 |
L(r)(E,1)/r! |
Ω |
0.25904236947471 |
Real period |
R |
3.8950847742765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112i1 24528m1 |
Quadratic twists by: -4 8 |