Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275d |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8850515625 = 37 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-932405,-346308028] |
[a1,a2,a3,a4,a6] |
j |
7870267657034497/777 |
j-invariant |
L |
1.2291034278562 |
L(r)(E,1)/r! |
Ω |
0.15363792839101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19425n4 2331h3 |
Quadratic twists by: -3 5 |