Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2115a |
Isogeny class |
Conductor |
2115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-5434968375 = -1 · 39 · 53 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-353,4456] |
[a1,a2,a3,a4,a6] |
j |
-246491883/276125 |
j-invariant |
L |
1.2303103781941 |
L(r)(E,1)/r! |
Ω |
1.2303103781941 |
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 |
33840y1 2115b1 10575a1 103635g1 |
Quadratic twists by: -4 -3 5 -7 |