Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120bk |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-9865691136000 = -1 · 218 · 36 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-635376,-194725440] |
[a1,a2,a3,a4,a6] |
Generators |
[211210206:3171224898:205379] |
Generators of the group modulo torsion |
j |
-6925591418687384689/2408616000 |
j-invariant |
L |
4.4369548601568 |
L(r)(E,1)/r! |
Ω |
0.084549645579108 |
Real period |
R |
13.119377501574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999735188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12390t1 |
Quadratic twists by: -4 |