Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760d |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-5197697683200000 = -1 · 211 · 39 · 55 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- 7 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23517,-3178818] |
[a1,a2,a3,a4,a6] |
Generators |
[97566:1766556:343] |
Generators of the group modulo torsion |
j |
35681920794/128940625 |
j-invariant |
L |
8.7028744218274 |
L(r)(E,1)/r! |
Ω |
0.21897716027026 |
Real period |
R |
6.6238829631025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999247271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122760bg1 |
Quadratic twists by: -3 |