Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600o |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-125515859212800 = -1 · 29 · 35 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 7 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7432,-481788] |
[a1,a2,a3,a4,a6] |
j |
87880/243 |
j-invariant |
L |
1.2069739319447 |
L(r)(E,1)/r! |
Ω |
0.30174356016029 |
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 |
117600gn1 117600hq1 117600cs1 |
Quadratic twists by: -4 5 -7 |