Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520b |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2276352 |
Modular degree for the optimal curve |
Δ |
-1391293484318720000 = -1 · 217 · 54 · 198 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -5 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1271201,554145215] |
[a1,a2,a3,a4,a6] |
Generators |
[842:9025:1] |
Generators of the group modulo torsion |
j |
-102053522/625 |
j-invariant |
L |
2.923797259351 |
L(r)(E,1)/r! |
Ω |
0.27162541378713 |
Real period |
R |
0.89700653315053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520bn1 14440c1 115520l1 |
Quadratic twists by: -4 8 -19 |