Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270v |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
279417600 |
Modular degree for the optimal curve |
Δ |
-4.2742622518014E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5240647459,-149374289521954] |
[a1,a2,a3,a4,a6] |
Generators |
[4320737196774780:370709305900115149:49552182217] |
Generators of the group modulo torsion |
j |
-8985090121412786494028517889/241270961135486040000000 |
j-invariant |
L |
4.0806044703803 |
L(r)(E,1)/r! |
Ω |
0.0088579905144132 |
Real period |
R |
19.194555016647 |
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 |
9570ba1 |
Quadratic twists by: -11 |