Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320bt |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-205534790123520 = -1 · 215 · 3 · 5 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3424,-684300] |
[a1,a2,a3,a4,a6] |
Generators |
[51774:807191:216] |
Generators of the group modulo torsion |
j |
1083523132511/50179392120 |
j-invariant |
L |
7.4392798999781 |
L(r)(E,1)/r! |
Ω |
0.27004121199711 |
Real period |
R |
6.8871708923243 |
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 |
4290t4 102960en3 |
Quadratic twists by: -4 -3 |