Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
1098i |
Isogeny class |
Conductor |
1098 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-629493202944 = -1 · 219 · 39 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -6 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8213,291053] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-1808:1] |
Generators of the group modulo torsion |
j |
-84033427451401/863502336 |
j-invariant |
L |
3.2241762809332 |
L(r)(E,1)/r! |
Ω |
0.91680713328739 |
Real period |
R |
0.046272951613526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8784p1 35136u1 366c1 27450p1 |
Quadratic twists by: -4 8 -3 5 |