Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900c |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6580461894300000000 = 28 · 312 · 58 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1027908,382008312] |
[a1,a2,a3,a4,a6] |
Generators |
[346542858:32331386925:39304] |
Generators of the group modulo torsion |
j |
30028032801240784/1645115473575 |
j-invariant |
L |
5.2611699894029 |
L(r)(E,1)/r! |
Ω |
0.23393610732896 |
Real period |
R |
11.24488658351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700q2 7980d2 |
Quadratic twists by: -3 5 |