Atkin-Lehner |
2+ 7+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10934a |
Isogeny class |
Conductor |
10934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
31327070064598 = 2 · 710 · 11 · 712 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-591127,-174784113] |
[a1,a2,a3,a4,a6] |
Generators |
[1416276865:-14449394669:1520875] |
Generators of the group modulo torsion |
j |
22843703499983411207625/31327070064598 |
j-invariant |
L |
2.8781349730153 |
L(r)(E,1)/r! |
Ω |
0.1721786732117 |
Real period |
R |
16.7159783458 |
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 |
87472h2 98406k2 76538i2 120274n2 |
Quadratic twists by: -4 -3 -7 -11 |