Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282bv |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-28368018649055232 = -1 · 216 · 36 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,47382,-7060572] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-6330:1] |
Generators of the group modulo torsion |
j |
99994258523375/241124179968 |
j-invariant |
L |
10.150671282694 |
L(r)(E,1)/r! |
Ω |
0.19318603865262 |
Real period |
R |
0.54732816062791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90846by1 4326i1 |
Quadratic twists by: -3 -7 |