Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723g |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7097013 = 32 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11+ -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-704,6903] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-1:1] |
Generators of the group modulo torsion |
j |
112748588191/20691 |
j-invariant |
L |
5.3218843010514 |
L(r)(E,1)/r! |
Ω |
2.2876322200118 |
Real period |
R |
1.1631861656993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92169bl2 30723y2 |
Quadratic twists by: -3 -7 |