Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450l |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
9.552271955625E+18 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-613375,109637125] |
[a1,a2,a3,a4,a6] |
Generators |
[-506:17305:1] |
Generators of the group modulo torsion |
j |
1633364098002912241/611345405160000 |
j-invariant |
L |
3.1569042131092 |
L(r)(E,1)/r! |
Ω |
0.21016222850187 |
Real period |
R |
0.93882956383652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91350ek3 6090ba3 |
Quadratic twists by: -3 5 |