Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576cj |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
-6276566651907342336 = -1 · 231 · 3 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,424520,-56382124] |
[a1,a2,a3,a4,a6] |
Generators |
[149769266:4981830321:405224] |
Generators of the group modulo torsion |
j |
358321516679/265814016 |
j-invariant |
L |
7.5166318599324 |
L(r)(E,1)/r! |
Ω |
0.13347693719097 |
Real period |
R |
14.078521762111 |
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 |
3822a1 122304ep1 91728di1 30576ca1 |
Quadratic twists by: -4 8 -3 -7 |