Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520v |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
243025605460480000 = 212 · 54 · 377 |
Discriminant |
Eigenvalues |
2- -1 5- 5 -3 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3424325,-2437736723] |
[a1,a2,a3,a4,a6] |
Generators |
[-364308:18605:343] |
Generators of the group modulo torsion |
j |
422550360064/23125 |
j-invariant |
L |
7.0695438583962 |
L(r)(E,1)/r! |
Ω |
0.11098319574243 |
Real period |
R |
7.9624034378824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6845d1 2960f1 |
Quadratic twists by: -4 37 |