Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950bz |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
85350784264704000 = 212 · 35 · 53 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-111010,2211700] |
[a1,a2,a3,a4,a6] |
Generators |
[5204:372086:1] |
Generators of the group modulo torsion |
j |
29993266043/16920576 |
j-invariant |
L |
3.8231014219903 |
L(r)(E,1)/r! |
Ω |
0.29387098621531 |
Real period |
R |
6.5047275910518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950jf1 124950ef1 |
Quadratic twists by: 5 -7 |