Atkin-Lehner |
3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30153c |
Isogeny class |
Conductor |
30153 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5.9471250344884E+21 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1636737,-3797532456] |
[a1,a2,a3,a4,a6] |
Generators |
[19739541584546047624190367059998147786575:10785878264057602773832514224508825326361931:65993249601744157719248708424640625] |
Generators of the group modulo torsion |
j |
-3275619238041697/40173535449153 |
j-invariant |
L |
3.7919959555758 |
L(r)(E,1)/r! |
Ω |
0.057400581261205 |
Real period |
R |
66.06197833294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90459q3 1311a4 |
Quadratic twists by: -3 -23 |