Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098a |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
26860381181088 = 25 · 3 · 73 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -1 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8284,145072] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:134:1] |
Generators of the group modulo torsion |
j |
77086633/32928 |
j-invariant |
L |
2.8142925513472 |
L(r)(E,1)/r! |
Ω |
0.60255329284608 |
Real period |
R |
1.5568706175096 |
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 |
56784da1 21294ch1 49686bj1 7098v1 |
Quadratic twists by: -4 -3 -7 13 |