Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312d |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-284836608 = -1 · 28 · 33 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,756] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [1:29:1] |
Generators of the group modulo torsion |
j |
193536/841 |
j-invariant |
L |
10.038878835885 |
L(r)(E,1)/r! |
Ω |
1.2404636497993 |
Real period |
R |
0.50580275153421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102312y1 102312a1 |
Quadratic twists by: -3 -7 |