Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600bk |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-35021166075000000 = -1 · 26 · 35 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2300958,1344215412] |
[a1,a2,a3,a4,a6] |
j |
-9348149440/243 |
j-invariant |
L |
2.0444270588152 |
L(r)(E,1)/r! |
Ω |
0.34073787450635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600hm1 117600gl1 117600ea1 |
Quadratic twists by: -4 5 -7 |