Atkin-Lehner |
3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30225b |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-169346592263671875 = -1 · 35 · 59 · 135 · 312 |
Discriminant |
Eigenvalues |
0 3+ 5+ 5 1 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-90533,-22373782] |
[a1,a2,a3,a4,a6] |
Generators |
[721908:21354373:729] |
Generators of the group modulo torsion |
j |
-5252054436020224/10838181904875 |
j-invariant |
L |
4.2128771430773 |
L(r)(E,1)/r! |
Ω |
0.12915357792673 |
Real period |
R |
8.1547821026442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675q1 6045f1 |
Quadratic twists by: -3 5 |