Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30303l |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
295214285603601 = 312 · 74 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39411,2905632] |
[a1,a2,a3,a4,a6] |
Generators |
[396:6822:1] |
Generators of the group modulo torsion |
j |
9286557374059057/404957867769 |
j-invariant |
L |
7.8385162032775 |
L(r)(E,1)/r! |
Ω |
0.54110794104348 |
Real period |
R |
3.6215122754258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10101g2 |
Quadratic twists by: -3 |