Atkin-Lehner |
2+ 3+ 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080i |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-14348316510000 = -1 · 24 · 310 · 54 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1515,-183150] |
[a1,a2,a3,a4,a6] |
Generators |
[2370:16030:27] |
Generators of the group modulo torsion |
j |
-24050729814016/896769781875 |
j-invariant |
L |
7.1720668574311 |
L(r)(E,1)/r! |
Ω |
0.30693736828587 |
Real period |
R |
5.8416370656834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040y1 |
Quadratic twists by: -4 |