Atkin-Lehner |
2- 3+ 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210bd |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
51802597500 = 22 · 3 · 54 · 194 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3580,80225] |
[a1,a2,a3,a4,a6] |
Generators |
[-466:2699:8] |
Generators of the group modulo torsion |
j |
5074349472976321/51802597500 |
j-invariant |
L |
5.7269070972698 |
L(r)(E,1)/r! |
Ω |
1.1288410916977 |
Real period |
R |
2.5366312138127 |
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 |
90630p4 |
Quadratic twists by: -3 |