Atkin-Lehner |
2- 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192q |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-627471202074624 = -1 · 214 · 36 · 175 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 1 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22376,1771632] |
[a1,a2,a3,a4,a6] |
Generators |
[122:918:1] |
Generators of the group modulo torsion |
j |
-302503589987689/153191211444 |
j-invariant |
L |
4.898760110191 |
L(r)(E,1)/r! |
Ω |
0.47817770337837 |
Real period |
R |
0.51223217598613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3774k1 120768do1 90576u1 |
Quadratic twists by: -4 8 -3 |