Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970h |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-4.9263416828464E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3513039,-2555905555] |
[a1,a2,a3,a4,a6] |
Generators |
[2221:23257:1] |
Generators of the group modulo torsion |
j |
-243602310198023065827/2502840869200000 |
j-invariant |
L |
3.7083114103555 |
L(r)(E,1)/r! |
Ω |
0.055103960069107 |
Real period |
R |
0.96138058361602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760cv1 11970be1 59850eh1 83790e1 |
Quadratic twists by: -4 -3 5 -7 |