Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bn |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9400320 |
Modular degree for the optimal curve |
Δ |
-1.0032748690123E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,85545553,-373511642529] |
[a1,a2,a3,a4,a6] |
Generators |
[15186619524340723:-8106458277629933628:53454818663] |
Generators of the group modulo torsion |
j |
94970451538205961115211351/137623438821988460701800 |
j-invariant |
L |
10.155930724592 |
L(r)(E,1)/r! |
Ω |
0.031726027939811 |
Real period |
R |
26.67612731062 |
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 |
10230f1 |
Quadratic twists by: -3 |