Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14490o |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
2885662402560000 = 214 · 36 · 54 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82080,-8653824] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:696:1] |
Generators of the group modulo torsion |
j |
83890194895342081/3958384640000 |
j-invariant |
L |
3.2949756980856 |
L(r)(E,1)/r! |
Ω |
0.28288373353153 |
Real period |
R |
1.1647809002487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920dd1 1610g1 72450dv1 101430cc1 |
Quadratic twists by: -4 -3 5 -7 |