Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83952r |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-17943180701073408 = -1 · 218 · 36 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45435,7445162] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:2662:1] |
Generators of the group modulo torsion |
j |
-3473824173625/6009134912 |
j-invariant |
L |
7.0267050175381 |
L(r)(E,1)/r! |
Ω |
0.34727287894395 |
Real period |
R |
1.6861632082502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10494d1 9328g1 |
Quadratic twists by: -4 -3 |