Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42826v |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-505039288741593088 = -1 · 216 · 79 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 7- 4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,30232,-34119191] |
[a1,a2,a3,a4,a6] |
Generators |
[23477:-3609123:1] |
Generators of the group modulo torsion |
j |
25973783183375/4292763123712 |
j-invariant |
L |
13.743274336977 |
L(r)(E,1)/r! |
Ω |
0.13877900993414 |
Real period |
R |
1.5473425096292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118i1 |
Quadratic twists by: -7 |