Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35392r |
Isogeny class |
Conductor |
35392 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-14547591102464 = -1 · 229 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3 2 7- -3 -5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8524,-354160] |
[a1,a2,a3,a4,a6] |
Generators |
[6726:97280:27] |
Generators of the group modulo torsion |
j |
-261284780457/55494656 |
j-invariant |
L |
11.581674532465 |
L(r)(E,1)/r! |
Ω |
0.24563858094412 |
Real period |
R |
3.9291040546747 |
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 |
35392f1 8848f1 |
Quadratic twists by: -4 8 |