Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
2982a |
Isogeny class |
Conductor |
2982 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-28417174758 = -1 · 2 · 35 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8605,303787] |
[a1,a2,a3,a4,a6] |
Generators |
[39:152:1] |
Generators of the group modulo torsion |
j |
-70478263190049625/28417174758 |
j-invariant |
L |
2.2735689974462 |
L(r)(E,1)/r! |
Ω |
1.16156702049 |
Real period |
R |
0.27961845105306 |
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 |
23856w1 95424bd1 8946u1 74550df1 |
Quadratic twists by: -4 8 -3 5 |