Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2415f |
Isogeny class |
Conductor |
2415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
734582625 = 3 · 53 · 7 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-231,336] |
[a1,a2,a3,a4,a6] |
j |
1363569097969/734582625 |
j-invariant |
L |
1.3996460788421 |
L(r)(E,1)/r! |
Ω |
1.3996460788421 |
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 |
38640bg1 7245s1 12075c1 16905q1 |
Quadratic twists by: -4 -3 5 -7 |