Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
11928b |
Isogeny class |
Conductor |
11928 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-332628121147392 = -1 · 211 · 33 · 75 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 0 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11432,999468] |
[a1,a2,a3,a4,a6] |
Generators |
[1:994:1] |
Generators of the group modulo torsion |
j |
-80686039032146/162416074779 |
j-invariant |
L |
4.6574066320546 |
L(r)(E,1)/r! |
Ω |
0.4818718139009 |
Real period |
R |
0.64434931970136 |
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 |
23856g1 95424bf1 35784t1 83496h1 |
Quadratic twists by: -4 8 -3 -7 |