Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150d |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-345593937500 = -1 · 22 · 56 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,383,28041] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:153:1] [23:209:1] |
Generators of the group modulo torsion |
j |
3375/188 |
j-invariant |
L |
8.6204235814347 |
L(r)(E,1)/r! |
Ω |
0.72990871272661 |
Real period |
R |
2.952569078354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4606j1 2350b1 |
Quadratic twists by: 5 -7 |