Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970d |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-12706301650518000 = -1 · 24 · 33 · 53 · 712 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60720,-7895504] |
[a1,a2,a3,a4,a6] |
Generators |
[15492:318404:27] |
Generators of the group modulo torsion |
j |
-7794190562283/4000066000 |
j-invariant |
L |
4.8053771709606 |
L(r)(E,1)/r! |
Ω |
0.14847204340959 |
Real period |
R |
8.0913838397076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cf3 10710e1 |
Quadratic twists by: -3 -7 |