Atkin-Lehner |
2- 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290bk |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-66700467360 = -1 · 25 · 36 · 5 · 233 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37058,-2736543] |
[a1,a2,a3,a4,a6] |
j |
-7720245801045721/91495840 |
j-invariant |
L |
5.1614401648103 |
L(r)(E,1)/r! |
Ω |
0.17204801706145 |
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 |
10810b1 |
Quadratic twists by: -3 |