Atkin-Lehner |
2+ 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010g |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-30735360 = -1 · 210 · 32 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38,-236] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
5822285399/30735360 |
j-invariant |
L |
2.479753851004 |
L(r)(E,1)/r! |
Ω |
1.0484529020053 |
Real period |
R |
2.3651552170452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030bh1 100050ch1 |
Quadratic twists by: -3 5 |