Atkin-Lehner |
2+ 7- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
100646d |
Isogeny class |
Conductor |
100646 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-558327650774706176 = -1 · 211 · 76 · 135 · 792 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-134090,40604092] |
[a1,a2,a3,a4,a6] |
Generators |
[-12570:46127:27] |
Generators of the group modulo torsion |
j |
-2266313514323977/4745706727424 |
j-invariant |
L |
3.4206584260381 |
L(r)(E,1)/r! |
Ω |
0.25921228959977 |
Real period |
R |
6.598179476544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054c1 |
Quadratic twists by: -7 |