Atkin-Lehner |
2- 3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
30876b |
Isogeny class |
Conductor |
30876 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-529820303616 = -1 · 28 · 33 · 314 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -1 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30292,2039704] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:1922:1] |
Generators of the group modulo torsion |
j |
-12008311029698128/2069610561 |
j-invariant |
L |
3.2972551519163 |
L(r)(E,1)/r! |
Ω |
0.89697174568837 |
Real period |
R |
1.8379927616259 |
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 |
123504bm1 92628d1 |
Quadratic twists by: -4 -3 |