Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1110c |
Isogeny class |
Conductor |
1110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
2.1353131537921E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1423388,-615252528] |
[a1,a2,a3,a4,a6] |
Generators |
[-12091225:81909524:15625] |
Generators of the group modulo torsion |
j |
318929057401476905525449/21353131537921474560 |
j-invariant |
L |
1.5107434868363 |
L(r)(E,1)/r! |
Ω |
0.13880092385518 |
Real period |
R |
10.884246623693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8880x1 35520bo1 3330y1 5550bm1 |
Quadratic twists by: -4 8 -3 5 |