Atkin-Lehner |
2- 3+ 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930bg |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
1380 |
Product of Tamagawa factors cp |
deg |
552000 |
Modular degree for the optimal curve |
Δ |
-5421077810380800000 = -1 · 223 · 32 · 55 · 172 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,181560,-107915703] |
[a1,a2,a3,a4,a6] |
Generators |
[9157:-881779:1] |
Generators of the group modulo torsion |
j |
661887355963112173439/5421077810380800000 |
j-invariant |
L |
6.0171041835849 |
L(r)(E,1)/r! |
Ω |
0.11964157320263 |
Real period |
R |
0.036444024482217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790t1 109650t1 |
Quadratic twists by: -3 5 |