Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600bi |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-8401579200000000 = -1 · 212 · 37 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16333,4488037] |
[a1,a2,a3,a4,a6] |
j |
-125440/2187 |
j-invariant |
L |
2.0924339118094 |
L(r)(E,1)/r! |
Ω |
0.34873898522189 |
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 |
117600do1 117600gi1 117600dx1 |
Quadratic twists by: -4 5 -7 |