Atkin-Lehner |
2- 3- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954z |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-78842066688 = -1 · 28 · 34 · 7 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1072,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:64:1] |
Generators of the group modulo torsion |
j |
136233134021375/78842066688 |
j-invariant |
L |
10.036742722421 |
L(r)(E,1)/r! |
Ω |
0.64748591691619 |
Real period |
R |
0.48440931591142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862k1 |
Quadratic twists by: -3 |