Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30272r |
Isogeny class |
Conductor |
30272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-126969970688 = -1 · 228 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -1 -4 0 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115585,-15086719] |
[a1,a2,a3,a4,a6] |
Generators |
[9185:879616:1] |
Generators of the group modulo torsion |
j |
-651466337100769/484352 |
j-invariant |
L |
2.7622769190237 |
L(r)(E,1)/r! |
Ω |
0.12946246063276 |
Real period |
R |
5.3341271777218 |
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 |
30272w1 946c1 |
Quadratic twists by: -4 8 |