Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65100d |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1499904 |
Modular degree for the optimal curve |
Δ |
-8086859700965740800 = -1 · 28 · 38 · 52 · 7 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -3 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2184428,-1249448328] |
[a1,a2,a3,a4,a6] |
Generators |
[2066:55242:1] |
Generators of the group modulo torsion |
j |
-180118010381133071440/1263571828275897 |
j-invariant |
L |
4.9907383240945 |
L(r)(E,1)/r! |
Ω |
0.062065908130261 |
Real period |
R |
1.9145309643904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100bh1 |
Quadratic twists by: 5 |