Atkin-Lehner |
2- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
120274s |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-14644062430327792 = -1 · 24 · 7 · 1110 · 712 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1385997,-628650637] |
[a1,a2,a3,a4,a6] |
Generators |
[8429706575926239161926113:235130655909051567958016606:4732592240995832318013] |
Generators of the group modulo torsion |
j |
-166208982750721513/8266191472 |
j-invariant |
L |
19.905803299235 |
L(r)(E,1)/r! |
Ω |
0.069570910780562 |
Real period |
R |
35.765313214398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934b1 |
Quadratic twists by: -11 |