Atkin-Lehner |
2+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
123704b |
Isogeny class |
Conductor |
123704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
420992 |
Modular degree for the optimal curve |
Δ |
-77265415478272 = -1 · 210 · 7 · 476 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,423228] |
[a1,a2,a3,a4,a6] |
Generators |
[374383871069801257500:-5703275223782929752767:8211842859375000000] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
14.772747904272 |
L(r)(E,1)/r! |
Ω |
0.49203356838424 |
Real period |
R |
30.02386179407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56b1 |
Quadratic twists by: -47 |