Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098r |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-634576505403204 = -1 · 22 · 34 · 74 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 4 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15974,1433063] |
[a1,a2,a3,a4,a6] |
j |
-552611137/777924 |
j-invariant |
L |
3.6947361278932 |
L(r)(E,1)/r! |
Ω |
0.46184201598665 |
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 |
56784db1 21294v1 49686dh1 7098e1 |
Quadratic twists by: -4 -3 -7 13 |