Atkin-Lehner |
2- 3+ 7+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
107226r |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-4228562820384 = -1 · 25 · 39 · 73 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 -4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8831,336583] |
[a1,a2,a3,a4,a6] |
Generators |
[97:572:1] |
Generators of the group modulo torsion |
j |
-3869153577099/214833248 |
j-invariant |
L |
12.41807500298 |
L(r)(E,1)/r! |
Ω |
0.7686987111082 |
Real period |
R |
0.80773356215747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107226d1 |
Quadratic twists by: -3 |