Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990j |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-5397929064360 = -1 · 23 · 34 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -5 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,808,-111096] |
[a1,a2,a3,a4,a6] |
Generators |
[59:353:1] |
Generators of the group modulo torsion |
j |
10100279/936360 |
j-invariant |
L |
2.9476888080131 |
L(r)(E,1)/r! |
Ω |
0.36243502162515 |
Real period |
R |
2.033253295167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74970ck1 124950hd1 24990y1 |
Quadratic twists by: -3 5 -7 |