Atkin-Lehner |
2+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41360g |
Isogeny class |
Conductor |
41360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-195365250762880000 = -1 · 210 · 54 · 113 · 475 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 11- -1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56440,-21864288] |
[a1,a2,a3,a4,a6] |
Generators |
[654:14850:1] |
Generators of the group modulo torsion |
j |
-19417462071452644/190786377698125 |
j-invariant |
L |
9.2166713670191 |
L(r)(E,1)/r! |
Ω |
0.13490702551617 |
Real period |
R |
2.8466121179123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20680c1 |
Quadratic twists by: -4 |