Atkin-Lehner |
2+ 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23226c |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
2342156292 = 22 · 32 · 77 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-466,-3296] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] [-11:31:1] |
Generators of the group modulo torsion |
j |
95443993/19908 |
j-invariant |
L |
4.6185262710793 |
L(r)(E,1)/r! |
Ω |
1.0423716850534 |
Real period |
R |
1.1076965964505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69678bb1 3318e1 |
Quadratic twists by: -3 -7 |