Atkin-Lehner |
3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30975a |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-16510546171875 = -1 · 3 · 57 · 73 · 593 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3367,-181582] |
[a1,a2,a3,a4,a6] |
Generators |
[52:362:1] |
Generators of the group modulo torsion |
j |
270087225344/1056674955 |
j-invariant |
L |
3.6453315430756 |
L(r)(E,1)/r! |
Ω |
0.35264514047807 |
Real period |
R |
2.5842774539114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92925j2 6195i2 |
Quadratic twists by: -3 5 |