Atkin-Lehner |
2+ 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978h |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
116115451873344 = 26 · 32 · 78 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12716,184080] |
[a1,a2,a3,a4,a6] |
Generators |
[155:-1480:1] [-834:5415:8] |
Generators of the group modulo torsion |
j |
1933038007993/986965056 |
j-invariant |
L |
5.421927620631 |
L(r)(E,1)/r! |
Ω |
0.5214960349992 |
Real period |
R |
2.5992180461357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854i2 |
Quadratic twists by: -7 |