Atkin-Lehner |
2- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
61100l |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
5249191916800 = 28 · 52 · 135 · 472 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8440,-277340] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1222:1] [-51:143:1] |
Generators of the group modulo torsion |
j |
10388936171520/820186237 |
j-invariant |
L |
6.2136860866902 |
L(r)(E,1)/r! |
Ω |
0.50059030983126 |
Real period |
R |
0.41375724916836 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61100o1 |
Quadratic twists by: 5 |