Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bg |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
502828011598828125 = 3 · 58 · 712 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -3 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23119833,42796005818] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:210087:1] |
Generators of the group modulo torsion |
j |
29739217310187520/10941357 |
j-invariant |
L |
3.3576439154291 |
L(r)(E,1)/r! |
Ω |
0.23803837075095 |
Real period |
R |
1.1754561337035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998807408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bv2 16275bc2 |
Quadratic twists by: 5 -7 |