Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100c |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-6825828204000000 = -1 · 28 · 312 · 56 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98933,12652737] |
[a1,a2,a3,a4,a6] |
Generators |
[7498:217971:8] |
Generators of the group modulo torsion |
j |
-26772667629568/1706457051 |
j-invariant |
L |
6.0989585642571 |
L(r)(E,1)/r! |
Ω |
0.41432500475266 |
Real period |
R |
3.6800570162928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2964f1 |
Quadratic twists by: 5 |