Atkin-Lehner |
3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099h |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-504720842932971 = -1 · 37 · 710 · 19 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8510,1034970] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1445:1] |
Generators of the group modulo torsion |
j |
579259437056/4290056379 |
j-invariant |
L |
2.5168989358771 |
L(r)(E,1)/r! |
Ω |
0.38083225786343 |
Real period |
R |
3.3044719630383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995963947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17157l1 |
Quadratic twists by: -7 |