Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350v |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-2710400000000 = -1 · 213 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,349,79198] |
[a1,a2,a3,a4,a6] |
Generators |
[22:301:1] |
Generators of the group modulo torsion |
j |
2496791/1433600 |
j-invariant |
L |
4.7121453706597 |
L(r)(E,1)/r! |
Ω |
0.62943163724115 |
Real period |
R |
1.8715874337494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470s1 42350bv1 |
Quadratic twists by: 5 -11 |