Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350co |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-1579375000 = -1 · 23 · 57 · 7 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,287,417] |
[a1,a2,a3,a4,a6] |
Generators |
[12:69:1] |
Generators of the group modulo torsion |
j |
463391/280 |
j-invariant |
L |
6.349565833377 |
L(r)(E,1)/r! |
Ω |
0.92281949769821 |
Real period |
R |
1.1467691939397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270g1 126350f1 |
Quadratic twists by: 5 -19 |