Atkin-Lehner |
3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74415g |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
4497522722055799425 = 33 · 52 · 119 · 414 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2332580,1366433300] |
[a1,a2,a3,a4,a6] |
j |
792277377846851161/2538734326425 |
j-invariant |
L |
1.9677824179977 |
L(r)(E,1)/r! |
Ω |
0.24597280617135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6765c1 |
Quadratic twists by: -11 |