Atkin-Lehner |
2+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926f |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
-301818029212 = -1 · 22 · 7 · 476 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1151,-30498] |
[a1,a2,a3,a4,a6] |
Generators |
[4093:259808:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
3.084187023805 |
L(r)(E,1)/r! |
Ω |
0.38668553681364 |
Real period |
R |
7.9759565077584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14a4 |
Quadratic twists by: -47 |