Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098f |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
59967479760602778 = 2 · 37 · 75 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -3 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122528,11512350] |
[a1,a2,a3,a4,a6] |
j |
249395415529/73513818 |
j-invariant |
L |
1.6303901531034 |
L(r)(E,1)/r! |
Ω |
0.32607803062068 |
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 |
56784cs1 21294ct1 49686br1 7098s1 |
Quadratic twists by: -4 -3 -7 13 |