Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990x |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-15435254677500 = -1 · 22 · 32 · 54 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17029,-877348] |
[a1,a2,a3,a4,a6] |
Generators |
[183:1372:1] |
Generators of the group modulo torsion |
j |
-13532315887/382500 |
j-invariant |
L |
4.347208849446 |
L(r)(E,1)/r! |
Ω |
0.20861792671428 |
Real period |
R |
5.2095341444458 |
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 |
74970dz1 124950gb1 24990o1 |
Quadratic twists by: -3 5 -7 |