Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970ca |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
18363754676952720 = 24 · 39 · 5 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-291143,60185647] |
[a1,a2,a3,a4,a6] |
j |
3436115229/23120 |
j-invariant |
L |
3.1164259308377 |
L(r)(E,1)/r! |
Ω |
0.38955324583372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970j1 74970cg1 |
Quadratic twists by: -3 -7 |