Atkin-Lehner |
2+ 3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110n |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-4639476387060 = -1 · 22 · 311 · 5 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2529315,1548923161] |
[a1,a2,a3,a4,a6] |
Generators |
[920:-379:1] |
Generators of the group modulo torsion |
j |
-2454737398162535208241/6364165140 |
j-invariant |
L |
2.3052011741815 |
L(r)(E,1)/r! |
Ω |
0.50830928400093 |
Real period |
R |
0.56687956710551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370p1 |
Quadratic twists by: -3 |