Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ej |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-12202930756800 = -1 · 26 · 33 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4002,135612] |
[a1,a2,a3,a4,a6] |
Generators |
[246:11222:27] |
Generators of the group modulo torsion |
j |
15680/27 |
j-invariant |
L |
6.1840997783983 |
L(r)(E,1)/r! |
Ω |
0.48831646029011 |
Real period |
R |
6.3320615410837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600cl1 117600ds1 117600ge1 |
Quadratic twists by: -4 5 -7 |