Atkin-Lehner |
2- 3- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110bm |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
Δ |
-483676090269696000 = -1 · 221 · 38 · 53 · 193 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,188923,10936829] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:2176:1] |
Generators of the group modulo torsion |
j |
1022946307261326071/663478861824000 |
j-invariant |
L |
11.719140174063 |
L(r)(E,1)/r! |
Ω |
0.18428286224433 |
Real period |
R |
0.75706211532208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994587 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23370f2 |
Quadratic twists by: -3 |