Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390d |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3096214632000 = 26 · 39 · 53 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8063970,-8811952300] |
[a1,a2,a3,a4,a6] |
Generators |
[31528993914:-1253674026307:7762392] |
Generators of the group modulo torsion |
j |
2946314887354345323123/157304000 |
j-invariant |
L |
3.4447459363432 |
L(r)(E,1)/r! |
Ω |
0.089590575487085 |
Real period |
R |
19.224934752427 |
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 |
33390be2 |
Quadratic twists by: -3 |