Atkin-Lehner |
2+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810f |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1002240 |
Modular degree for the optimal curve |
Δ |
-796368475142080000 = -1 · 29 · 54 · 597 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 5 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1218423,-519539494] |
[a1,a2,a3,a4,a6] |
Generators |
[14450:1724572:1] |
Generators of the group modulo torsion |
j |
-4742478770401/18880000 |
j-invariant |
L |
2.4922884492466 |
L(r)(E,1)/r! |
Ω |
0.071831775855524 |
Real period |
R |
4.3370228905712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
590d1 |
Quadratic twists by: -59 |