Atkin-Lehner |
3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135q |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
3799270125 = 32 · 53 · 72 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -6 -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1395,20306] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:102:1] [90:-619:8] |
Generators of the group modulo torsion |
j |
6131426689024/77536125 |
j-invariant |
L |
6.0800172377348 |
L(r)(E,1)/r! |
Ω |
1.402027541463 |
Real period |
R |
0.24092161205137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405o2 30135u2 |
Quadratic twists by: -3 -7 |