Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950bd |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
28800475200000000 = 212 · 32 · 58 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123750,-14683500] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1551:1] |
Generators of the group modulo torsion |
j |
114013572049/15667200 |
j-invariant |
L |
3.7499280022343 |
L(r)(E,1)/r! |
Ω |
0.25686405897204 |
Real period |
R |
3.6497205183457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997237574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990cd1 2550k1 |
Quadratic twists by: 5 -7 |