Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950cd |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-7973569061718750 = -1 · 2 · 36 · 58 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26925,-3934125] |
[a1,a2,a3,a4,a6] |
Generators |
[111:606:1] [1462:20633:8] |
Generators of the group modulo torsion |
j |
46969655/173502 |
j-invariant |
L |
7.4578658022084 |
L(r)(E,1)/r! |
Ω |
0.21113829164287 |
Real period |
R |
4.4152731298969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999945608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950hl1 17850y1 |
Quadratic twists by: 5 -7 |