Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763r |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
-3.6044837990585E+20 |
Discriminant |
Eigenvalues |
2 3+ 4 7- 5 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2497056,-1771459621] |
[a1,a2,a3,a4,a6] |
Generators |
[14393123306144801666030:977097615349109968842377:2789347132597663000] |
Generators of the group modulo torsion |
j |
-98867482624/20696067 |
j-invariant |
L |
16.436619427289 |
L(r)(E,1)/r! |
Ω |
0.059383211320917 |
Real period |
R |
34.598624471619 |
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 |
11109k1 3381c1 |
Quadratic twists by: -7 -23 |