Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cs |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
7140 |
Product of Tamagawa factors cp |
deg |
8225280 |
Modular degree for the optimal curve |
Δ |
1.8269107767973E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23611588,39078347792] |
[a1,a2,a3,a4,a6] |
Generators |
[-3718:276584:1] |
Generators of the group modulo torsion |
j |
93170682541288607440249/11692228971502632960 |
j-invariant |
L |
10.337781540738 |
L(r)(E,1)/r! |
Ω |
0.097608046183764 |
Real period |
R |
0.014833496004932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210e1 |
Quadratic twists by: 5 |