Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224v |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-43500475556678448 = -1 · 24 · 33 · 72 · 112 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9921,-10024200] |
[a1,a2,a3,a4,a6] |
Generators |
[1800:76440:1] |
Generators of the group modulo torsion |
j |
6748796026554368/2718779722292403 |
j-invariant |
L |
5.9443997208342 |
L(r)(E,1)/r! |
Ω |
0.16898421532476 |
Real period |
R |
5.8628747371424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112n1 |
Quadratic twists by: -4 |