Atkin-Lehner |
2+ 3+ 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214a |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21414006790848 = -1 · 26 · 39 · 72 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6897,-32851] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-551:1] [59:730:1] |
Generators of the group modulo torsion |
j |
1843222135581/1087944256 |
j-invariant |
L |
7.2528887060223 |
L(r)(E,1)/r! |
Ω |
0.39882401157752 |
Real period |
R |
2.2732108948593 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74214n2 |
Quadratic twists by: -3 |