Atkin-Lehner |
2+ 3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954f |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-285048004523436 = -1 · 22 · 38 · 72 · 11 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3924,-805140] |
[a1,a2,a3,a4,a6] |
Generators |
[261:4122:1] |
Generators of the group modulo torsion |
j |
6679404806921783/285048004523436 |
j-invariant |
L |
2.7469288818165 |
L(r)(E,1)/r! |
Ω |
0.26309823071896 |
Real period |
R |
2.6101742249558 |
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 |
92862br3 |
Quadratic twists by: -3 |