Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ep |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
605304105000000 = 26 · 3 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37158,2502312] |
[a1,a2,a3,a4,a6] |
Generators |
[2107:96300:1] |
Generators of the group modulo torsion |
j |
140608/15 |
j-invariant |
L |
6.0503189070842 |
L(r)(E,1)/r! |
Ω |
0.49927206247871 |
Real period |
R |
6.0591402807086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999962795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600gy1 23520o1 117600gq1 |
Quadratic twists by: -4 5 -7 |