Atkin-Lehner |
3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
102675o |
Isogeny class |
Conductor |
102675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-243543561479296875 = -1 · 35 · 58 · 376 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,57042,23138318] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:2053:1] [-614:34221:8] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
4.7186734075941 |
L(r)(E,1)/r! |
Ω |
0.23057614582686 |
Real period |
R |
1.7053923006888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102675t1 75a2 |
Quadratic twists by: 5 37 |