Atkin-Lehner |
2- 3- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110bm |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-445389733157760 = -1 · 27 · 312 · 5 · 19 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26942,-1975219] |
[a1,a2,a3,a4,a6] |
Generators |
[309:4219:1] |
Generators of the group modulo torsion |
j |
-2966679065391769/610959853440 |
j-invariant |
L |
11.719140174063 |
L(r)(E,1)/r! |
Ω |
0.18428286224433 |
Real period |
R |
2.2711863459662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370f1 |
Quadratic twists by: -3 |