Atkin-Lehner |
2- 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117438l |
Isogeny class |
Conductor |
117438 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1033344 |
Modular degree for the optimal curve |
Δ |
7197406035206148 = 22 · 33 · 239 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-261337,-51368701] |
[a1,a2,a3,a4,a6] |
Generators |
[-96553038745156589769928291680:178852065338542592111333881829:329194374500881483665408000] |
Generators of the group modulo torsion |
j |
1095912791/3996 |
j-invariant |
L |
9.6617347303015 |
L(r)(E,1)/r! |
Ω |
0.21120031139691 |
Real period |
R |
45.746782623177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117438p1 |
Quadratic twists by: -23 |