Atkin-Lehner |
3+ 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099i |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-840693 = -1 · 3 · 73 · 19 · 43 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 1 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67,190] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] |
Generators of the group modulo torsion |
j |
-99252847/2451 |
j-invariant |
L |
4.2595882873725 |
L(r)(E,1)/r! |
Ω |
2.8127950829638 |
Real period |
R |
0.75718071743755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997406457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120099o1 |
Quadratic twists by: -7 |