Atkin-Lehner |
2- 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954s |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1014930394232832 = -1 · 211 · 38 · 7 · 115 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2638,1532555] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1719:1] |
Generators of the group modulo torsion |
j |
-2030291400390625/1014930394232832 |
j-invariant |
L |
7.1890165357691 |
L(r)(E,1)/r! |
Ω |
0.39971618049536 |
Real period |
R |
0.16350275262494 |
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 |
92862h1 |
Quadratic twists by: -3 |