Atkin-Lehner |
2- 13- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90896z |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
336384 |
Modular degree for the optimal curve |
Δ |
-29367255597056 = -1 · 215 · 13 · 194 · 232 |
Discriminant |
Eigenvalues |
2- -3 1 -1 -6 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2947,-267902] |
[a1,a2,a3,a4,a6] |
Generators |
[369:6992:1] |
Generators of the group modulo torsion |
j |
-691041567321/7169740136 |
j-invariant |
L |
3.0822811978698 |
L(r)(E,1)/r! |
Ω |
0.28135150661773 |
Real period |
R |
0.34235213011453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362d1 |
Quadratic twists by: -4 |