Atkin-Lehner |
2+ 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450c |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-105602913719550 = -1 · 2 · 39 · 52 · 135 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 13- 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59982,5690906] |
[a1,a2,a3,a4,a6] |
Generators |
[403:6643:1] [133:-296:1] |
Generators of the group modulo torsion |
j |
-48501962463915/214607354 |
j-invariant |
L |
7.808710274743 |
L(r)(E,1)/r! |
Ω |
0.59857437820237 |
Real period |
R |
0.65227568695773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450cb1 99450cd1 |
Quadratic twists by: -3 5 |