Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49400t |
Isogeny class |
Conductor |
49400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-61750000 = -1 · 24 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -6 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,375] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-25:1] |
Generators of the group modulo torsion |
j |
6912/247 |
j-invariant |
L |
3.6502520259907 |
L(r)(E,1)/r! |
Ω |
1.4877673454429 |
Real period |
R |
0.61337749433099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98800q1 1976a1 |
Quadratic twists by: -4 5 |