Atkin-Lehner |
7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
79261c |
Isogeny class |
Conductor |
79261 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-243702000090913 = -1 · 73 · 139 · 67 |
Discriminant |
Eigenvalues |
1 -2 -2 7- -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-72167,7493631] |
[a1,a2,a3,a4,a6] |
Generators |
[651:-15705:1] [-77:3587:1] |
Generators of the group modulo torsion |
j |
-8611343303473/50489257 |
j-invariant |
L |
7.582659666105 |
L(r)(E,1)/r! |
Ω |
0.5584868704341 |
Real period |
R |
1.1314291149392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6097b1 |
Quadratic twists by: 13 |