Atkin-Lehner |
2+ 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306b |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-152072091515456 = -1 · 26 · 74 · 176 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8990,-493580] |
[a1,a2,a3,a4,a6] |
Generators |
[53:337:1] [662:16864:1] |
Generators of the group modulo torsion |
j |
33471877163207/63336981056 |
j-invariant |
L |
7.5197483911846 |
L(r)(E,1)/r! |
Ω |
0.30207451858172 |
Real period |
R |
2.0744738821599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68306i2 |
Quadratic twists by: -7 |