Atkin-Lehner |
2- 3- 7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
98406k |
Isogeny class |
Conductor |
98406 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22837434077091942 = 2 · 36 · 710 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5320145,4724491195] |
[a1,a2,a3,a4,a6] |
Generators |
[130964:3072047:64] |
Generators of the group modulo torsion |
j |
22843703499983411207625/31327070064598 |
j-invariant |
L |
9.9596636521682 |
L(r)(E,1)/r! |
Ω |
0.32287005473445 |
Real period |
R |
7.7118204986642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934a2 |
Quadratic twists by: -3 |