Atkin-Lehner |
2- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7370i |
Isogeny class |
Conductor |
7370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-3499116424760 = -1 · 23 · 5 · 117 · 672 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11+ -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2525,102185] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:337:1] |
Generators of the group modulo torsion |
j |
-1780404196683601/3499116424760 |
j-invariant |
L |
7.3633901960196 |
L(r)(E,1)/r! |
Ω |
0.70483672603706 |
Real period |
R |
1.7411574255455 |
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 |
58960r1 66330l1 36850d1 81070m1 |
Quadratic twists by: -4 -3 5 -11 |